Active Galactic Nuclei: Quasars, Jets, and Feedback

Table of Contents

Introduction

Active galactic nuclei (AGN) are the luminous, compact cores of some galaxies where a supermassive black hole (SMBH) feeds on surrounding gas. When gas spirals inward, it forms a hot accretion disk that radiates across the spectrum—from radio waves to gamma rays—outshining the host galaxy. The most extreme AGN, quasars, can emit over 1048 erg/s, making them among the brightest persistent beacons in the universe.

AGN are not just cosmic lighthouses; they are engines of transformation. Their relativistic jets blast across intergalactic space, their winds and radiation heat and expel gas, and their energy output can regulate or even quench star formation. These processes, collectively called AGN feedback, are central to theories of galaxy evolution. Meanwhile, AGN variability on timescales from minutes to years turns their innermost regions into natural laboratories for extreme gravity and plasma physics.

This guide explains how AGN work, how astronomers classify them, the physics of accretion and jet launching, the evidence for SMBH growth across cosmic time, and how AGN sculpt galaxies. It also surveys observational tools and open problems. For a quick overview of terminology and unification ideas, see AGN Taxonomy and the Unified Model; to dive into the central engine and luminous output, start with Accretion Physics and the Eddington Limit and SEDs and Multiwavelength Observations.

AGN Taxonomy and the Unified Model

AGN appear in many guises, historically identified in different wavebands and with different spectral signatures. A unifying theme emerged: many of these classes are the same physical system viewed from different angles and with different levels of obscuration and jet alignment.

Classical categories

  • Seyfert galaxies: Nearby spiral galaxies with bright nuclei. Type 1 show broad and narrow emission lines; Type 2 show only narrow lines. Originally described by Carl Seyfert (1943).
  • Quasars (QSOs): Extremely luminous AGN at larger distances, often dominating their host galaxy’s light; the first redshift was measured for 3C 273 by Maarten Schmidt (1963).
  • Radio galaxies: AGN with powerful radio emission; often ellipticals with large-scale radio lobes. Morphologically categorized into FR I and FR II classes (Fanaroff & Riley, 1974).
  • Blazars: Jet-dominated AGN (including BL Lac objects and flat-spectrum radio quasars) with the jet pointed close to our line of sight; they show strong variability and polarization.
  • LINERs: Low-ionization nuclear emission-line regions; may be powered by low-luminosity AGN, shocks, or evolved stellar populations depending on the case.

The orientation-based unified model

The unified model proposes that most phenomenological differences arise from orientation and obscuration rather than intrinsic differences. In this scheme:

  • An optically thick, dusty torus on parsec scales hides or reveals the broad-line region (BLR) depending on the viewing angle.
  • Type 1 AGN: face-on views that see the BLR and a strong continuum.
  • Type 2 AGN: edge-on views where the torus obscures the BLR; only narrow lines from the more extended narrow-line region (NLR) are visible.
  • Blazars: jets aligned with our line of sight; radio galaxies are the same objects misaligned.

Polarized light detection of hidden broad lines in some Type 2 Seyferts supports this model: scattered light reveals the concealed BLR. Yet, the unified picture is incomplete. The cosmic evolution of AGN, changes in accretion state, and variations in torus structure (likely clumpy rather than a smooth doughnut) complicate a simple orientation-only story. The emergence of changing-look AGN—which transition between Type 1 and Type 2 spectra on year-long timescales—underscores the role of intrinsic changes as well as geometry. For the physics that powers all of these flavors, turn to The Black Hole Engine and Accretion Physics.

The Black Hole Engine

At the heart of every AGN lies a supermassive black hole with a mass ranging from about a million to tens of billions of solar masses. Two crucial ingredients turn a dormant SMBH into an active one: a supply of gas and angular momentum transport that allows gas to reach the event horizon.

From inflow to radiation

Gas falling into the SMBH’s gravitational well converts gravitational potential energy into heat and radiation, primarily via a geometrically thin, optically thick accretion disk in luminous AGN. The emitted spectrum peaks in the ultraviolet (the “big blue bump”), with X-rays produced by a compact, hot corona via Compton upscattering of disk photons. General relativistic magnetohydrodynamic (GRMHD) simulations show that magnetic fields threading the disk enable turbulence and angular momentum transport.

Jets and magnetic fields

Some AGN launch relativistic jets that carry energy far into the intergalactic medium. Two leading mechanisms are often invoked:

  • Blandford–Znajek: extraction of rotational energy from a spinning black hole through magnetic fields anchored in the ergosphere.
  • Blandford–Payne: centrifugally driven winds from a magnetized accretion disk.

Whether an AGN becomes radio-loud with powerful jets depends on several factors, including black hole spin, magnetic flux in the inner accretion flow, and accretion state. Simulations of magnetically arrested disks (MADs) show how intense magnetic flux can choke accretion while launching strong jets. For the observed signatures of these processes, see SEDs and Multiwavelength Observations and Relativistic Jets, Winds, and Outflows.

Accretion Physics and the Eddington Limit

The radiative power of an AGN is set by how rapidly mass is accreted and how efficiently gravitational energy is turned into light.

Radiative efficiency and spin

The radiative efficiency, often denoted by η, depends on the innermost stable circular orbit (ISCO), which in turn depends on black hole spin. For a non-rotating (Schwarzschild) black hole, η ≈ 0.057; for a rapidly spinning Kerr black hole, η can be ∼0.1–0.3. The higher the efficiency, the more light per unit mass accreted.

The Eddington limit

The Eddington luminosity is the theoretical maximum steady luminosity where outward radiation pressure balances inward gravitational force on ionized gas. It scales linearly with black hole mass: for a 108 M black hole, LEdd ≈ 1.26 × 1046 erg/s. The Eddington ratio (L/LEdd) measures how vigorously the SMBH is accreting. Quasars often shine at L/LEdd ∼ 0.1–1, while low-luminosity AGN may have L/LEdd ≪ 0.01.

Accretion modes

  • Thin disks: luminous, radiatively efficient disks appropriate for high accretion rates; they explain the UV big blue bump in SEDs.
  • Radiatively inefficient accretion flows (RIAFs/ADAFs): hot, optically thin flows at low accretion rates; radiate weakly and may be associated with strong outflows.
  • Super-Eddington accretion: geometrically thick, radiation-trapping flows that can exceed the Eddington luminosity for short periods; these are candidate pathways to rapid SMBH growth in the early universe (see Quasars at Cosmic Dawn).

Coronae and X-ray signatures

Above the accretion disk lies a compact, hot electron plasma—the corona—which Compton-upscatters UV photons to produce a power-law X-ray spectrum. Reflection off the disk imprints a characteristic “Compton hump” and iron Kα line near 6.4 keV. Relativistic broadening of this line can probe the inner disk and black hole spin.

Relativistic Jets, Winds, and Outflows

AGN do not merely shine; they push. Energy and momentum are carried outward through collimated jets, disk winds, and radiation pressure on dust, influencing their environments on scales from parsecs to megaparsecs.

Jets

  • Speeds and beaming: Jets move at relativistic velocities with bulk Lorentz factors often ∼10 or higher. Beaming amplifies emission for sightlines close to the jet axis, producing blazars with rapid variability and high polarization.
  • Large-scale structures: On kiloparsec scales, jets inflate radio lobes; hotspots mark where jets impact the intergalactic medium. FR II sources show edge-brightened lobes; FR I sources have core-brightened morphologies.
  • Energy transport: Jets can carry kinetic powers rivaling the radiative output. They heat intracluster gas and can halt cooling flows, a key aspect of maintenance-mode feedback (see AGN Feedback and Galaxy Evolution).

Winds and outflows

  • Disk winds: UV line-driven winds emanate from the accretion disk; evidence includes broad absorption lines (BALs) in some quasars, with velocities of thousands to tens of thousands of km/s.
  • Narrow-line outflows: Emission-line profiles (e.g., [O III]) often show blue wings indicative of kpc-scale ionized outflows.
  • Molecular outflows: Submillimeter observations (e.g., with ALMA) detect CO, OH, and other tracers of cold gas driven out by AGN, sometimes at >1000 km/s, directly impacting star-forming reservoirs.

Whether jets or winds dominate feedback depends on accretion state, host environment, and black hole spin/magnetization. Radio-loud AGN tend to affect hot, low-density plasma in massive halos, while radiative/windy AGN can act on the cold interstellar medium. For how these mechanisms translate into galaxy-scale consequences, see AGN Feedback and Galaxy Evolution.

SEDs and Multiwavelength Observations

AGN radiate across the electromagnetic spectrum. Observing different bands reveals different physical components.

Spectral energy distribution (SED)

  • Radio: synchrotron emission from jets and lobes; core emission reflects compact jet bases.
  • Infrared (IR): thermal emission from dust in the torus and host; reprocessed radiation from the accretion disk peaks at mid-IR wavelengths.
  • Optical/UV: the big blue bump from the accretion disk; broad emission lines from the BLR (e.g., Hβ, Mg II, C IV).
  • Soft/hard X-rays: coronal Comptonization and reflection features, including the iron Kα line.
  • Gamma rays: inverse Compton and hadronic processes in blazar jets detected by Fermi-LAT and ground-based Cherenkov telescopes.

Obscuration and the cosmic X-ray background

Many AGN are obscured by dust and gas. X-ray surveys reveal a large population of Compton-thin and Compton-thick AGN (with column densities NH ≳ 1024 cm−2). Population synthesis models that combine unobscured and obscured AGN reproduce the cosmic X-ray background peaking around 20–30 keV. Hard X-ray missions sensitive above 10 keV are crucial for completing the census of heavily buried AGN.

Multiwavelength synergy

  • Radio interferometry (VLBI) resolves jet bases at milliarcsecond scales.
  • Submillimeter (e.g., ALMA) traces molecular gas fueling and feedback, and dust at high redshift.
  • Optical/near-IR spectroscopy constrains emission-line diagnostics, metallicity, kinematics, and host galaxy properties.
  • X-rays probe the corona, reflection, and absorbing columns.
  • Gamma rays capture the most energetic jet processes in blazars.

To translate these data into black hole masses and structure, astronomers rely on techniques summarized in Measuring Masses and Resolving Structure.

Measuring Masses and Resolving Structure

Even with their enormous luminosities, AGN are compact. The central light-days to light-years are beyond direct imaging in most cases, so astronomers infer structure and mass through dynamics and time delays.

Black hole masses

  • Reverberation mapping: Monitors continuum variability and the delayed response in broad emission lines to measure the BLR’s size (light-travel time). Combining size with line width yields a virial mass estimate. Empirical calibrations allow single-epoch mass estimates from line widths (e.g., Hβ, Mg II) and continuum luminosity.
  • Stellar and gas dynamics: In nearby AGN and quiescent galaxies, spatially resolving the sphere of influence allows dynamical mass measurements. This underpins the M–σ relation linking SMBH mass to the galaxy’s bulge velocity dispersion.
  • Megamasers: Water megamasers in circumnuclear disks provide geometric distances and precise SMBH masses in a few systems.

Imaging horizons

Very long baseline interferometry operating at millimeter wavelengths synthesized the first images of black hole shadows. The Event Horizon Telescope (EHT) imaged the ring-like emission of M87* and later our own Galactic Center’s Sgr A*. While these are not classic luminous AGN, such imaging validates accretion and jet models that inform AGN physics broadly.

Structure on multiple scales

  • BLR: Light-days to light-weeks from the SMBH; produces Doppler-broadened lines. The BLR structure may be a disk-wind rather than a simple spherical cloud distribution.
  • Torus: Parsec-scale, dusty, clumpy structure reprocessing UV into IR; its covering factor varies across AGN populations.
  • NLR: Extends to hundreds of parsecs and beyond; narrow forbidden lines track ionization cones shaped by obscuring structures and orientation.

Strong gravitational lensing of background quasars by foreground galaxies also helps probe structure via microlensing-induced flux anomalies and wavelength-dependent magnification. Time delays between lensed images—caused by different light paths—carry cosmographic information, though our focus here is on AGN physics itself. For how such measurements intersect with galaxy-scale effects, see AGN Feedback.

SMBH Growth and Cosmic Evolution

Supermassive black holes build up their mass through accretion and, occasionally, mergers. Their growth history is encoded in the evolving AGN population.

Quasar luminosity function

Surveys reveal that quasar activity peaked around redshift z ≈ 2–3 (“cosmic noon”), with a declining space density toward the present. This evolution is luminosity-dependent, with the most luminous quasars evolving differently from low-luminosity AGN. Integrating the luminosity function over time, assuming a typical radiative efficiency, suggests that most of today’s SMBH mass density was accumulated during luminous accretion phases.

Fueling mechanisms

  • Mergers and interactions: Galaxy mergers can torque gas toward the center, triggering luminous quasar episodes; observational evidence shows enhanced merger signatures among the most luminous AGN.
  • Secular processes: Bars, disk instabilities, and stochastic accretion can feed lower-luminosity AGN without major mergers.
  • Cold gas accretion: Inflows from the circumgalactic medium may also play a role, particularly in massive halos at earlier epochs.

Spin evolution

Black hole spins evolve through accretion and mergers. Prolonged accretion in a fixed direction can spin up the hole, while chaotic accretion in small episodes can keep spin moderate. Spin affects radiative efficiency and the ability to launch jets, tying into the radio-loud/quiet dichotomy. X-ray reflection spectroscopy and continuum fitting offer spin constraints in some AGN.

To understand the earliest SMBHs and their rapid assembly, turn to Quasars at Cosmic Dawn. For how AGN growth couples to hosts, see AGN Feedback and Galaxy Evolution.

AGN Feedback and Galaxy Evolution

Galaxy formation models require a mechanism to prevent massive galaxies from forming too many stars. AGN are prime candidates: their energy output can heat, expel, or redistribute gas, regulating star formation on galactic and cluster scales.

Two feedback modes

  • Quasar (radiative) mode: Predominant at high accretion rates. Radiation pressure and winds can drive multiphase outflows, suppressing star formation and enriching the circumgalactic medium.
  • Radio (maintenance) mode: Predominant at low Eddington ratios in massive halos. Radio jets inflate bubbles and cavities in the hot intracluster medium (ICM), offsetting radiative cooling and maintaining a quasi-stable hot halo.

Observational evidence

  • X-ray cavities: High-resolution X-ray images of galaxy clusters show buoyant cavities aligned with radio lobes. The mechanical work required to inflate these bubbles can balance cooling losses.
  • Molecular and ionized outflows: Spatially resolved spectroscopy and submillimeter observations identify fast, massive outflows coincident with suppressed star formation in some hosts.
  • Host correlations: The empirical M–σ relation indicates a connection between SMBH growth and bulge properties, likely mediated by feedback and coevolution.

Feedback is not one-size-fits-all. Its impact depends on halo mass, gas fraction, geometry, duty cycles, and whether energy couples efficiently to the dense interstellar medium. Cosmological simulations incorporate subgrid AGN feedback to reproduce observed galaxy demographics, but disentangling causation from correlation remains an active area of research. For probes of AGN variability that inform energy injection over time, see Variability and the Time-Domain Revolution.

Quasars at Cosmic Dawn

Some quasars at redshifts z > 7 host black holes of a billion solar masses less than a billion years after the Big Bang. These discoveries challenge models of seed formation and growth.

Seed black holes

  • Stellar-mass seeds: Remnants of Population III stars (∼10–100 M) require sustained near- or super-Eddington accretion to reach 109 M by z > 7.
  • Direct collapse black holes: Formation of ∼104–106 M seeds via rapid collapse of pristine gas under special conditions (e.g., strong Lyman–Werner radiation suppressing H2 cooling) reduces the growth challenge.
  • Early mergers: Black hole mergers can help, but hierarchical merging rates and associated dynamical challenges likely require accretion-dominated mass buildup.

Observational constraints

  • Spectra and metallicity: Broad emission lines reveal high metallicities even at early times, hinting at rapid chemical enrichment.
  • Infrared/submillimeter: Dust and molecular gas in early quasar hosts (traced by ALMA) indicate substantial star formation and gas reservoirs.
  • Reionization: Quasar proximity zones and damping wings in Lyα spectra probe the neutral fraction of the intergalactic medium; quasars contribute to reionization but likely are not the dominant source compared to star-forming galaxies.

Future facilities will expand samples of early AGN and measure their hosts in detail. For the instruments enabling this, see Techniques and Instruments.

Variability and the Time-Domain Revolution

AGN flicker across timescales, reflecting dynamics near the event horizon and changes in accretion. Light echoes allow us to map otherwise unresolved structures.

Continuum and line variability

  • Continuum reverberation: Interband lags between UV and optical variability map the temperature structure of the accretion disk; measured lags sometimes exceed standard thin-disk predictions, spurring theoretical refinements.
  • BLR reverberation: Time delays between continuum and broad-line variations measure BLR sizes and kinematics, as discussed in Measuring Masses and Resolving Structure.

Changing-look AGN

Some AGN transition from Type 1 to Type 2 (or vice versa) over months to years, with dramatic changes in broad lines and continuum. The drivers include changes in accretion rate and/or line-of-sight obscuration. These events provide direct tests of BLR and torus models and accretion physics.

Jet variability

Blazars exhibit rapid flares from radio to gamma rays. Minute-scale variability at very high energies constrains emission region sizes and relativistic beaming. Multiwavelength campaigns track correlated variability to locate emission zones along the jet.

Techniques and Instruments

AGN studies are inherently multi-instrument and multi-epoch. Here are key tools across the spectrum and what they reveal.

Radio and submillimeter

  • VLBI networks: Resolve parsec-scale jets, measure proper motions, and constrain jet speeds and orientations.
  • ALMA: Maps molecular gas in hosts, detects dusty star formation, and measures outflow rates and dynamics. At high redshift, ALMA detects [C II] and CO spectral lines that trace interstellar medium conditions.

Optical/near-IR

  • Wide-field surveys: Spectroscopic programs (e.g., large redshift surveys) have discovered vast samples of quasars and characterized their evolution.
  • Time-domain surveys: Repeated imaging enables reverberation mapping campaigns and discovery of changing-look events.
  • Integral-field spectroscopy: Spatially resolved line diagnostics map ionization cones, outflows, and host kinematics.

X-ray and gamma-ray

  • Chandra and XMM-Newton: High-resolution X-ray spectroscopy and imaging of AGN coronae, reflection, and outflows.
  • NuSTAR: Hard X-ray coverage above 10 keV, essential for Compton-thick AGN and reflection humps.
  • Fermi-LAT and ground-based Cherenkov telescopes: Probe high-energy processes in jets, spectral breaks, and extragalactic background light attenuation.

Interferometry at event-horizon scales

Millimeter VLBI arrays synthesize Earth-sized baselines to directly image hot plasma near black hole event horizons. These observations, though centered on nearby SMBHs, feed back into accretion and jet-launch models relevant for luminous AGN.

For why these instruments matter to galaxy evolution, revisit AGN Feedback and Galaxy Evolution. To see how they connect to growth over cosmic time, see SMBH Growth and Cosmic Evolution.

Open Questions and Frontiers

Despite decades of progress, several core puzzles remain.

How do the earliest SMBHs grow so fast?

Do we need massive seeds, extended super-Eddington accretion, or both? Observations of z > 7 quasars and their hosts, along with theoretical models of direct collapse, aim to close this gap. Multiwavelength constraints on accretion rates, duty cycles, and environments are essential (see Quasars at Cosmic Dawn).

What sets jet power and radio-loudness?

Spin, magnetic flux, and accretion state all likely matter, but their relative roles are debated. GRMHD simulations in the MAD regime, combined with observations of jet launching zones, are sharpening this picture (see The Black Hole Engine and Jets).

How exactly does feedback quench star formation?

Do AGN primarily heat halo gas to stop cooling, or do they eject cold gas from galaxies? The answer varies with mass and epoch. Spatially resolved outflow energetics and long-term duty cycle measurements will quantify the cumulative impact (see AGN Feedback).

What is the structure of the BLR and torus?

Clumpy, anisotropic, and dynamic structures likely replace simple spherical or doughnut models. Time-resolved spectroscopy, polarimetry, and interferometry promise more realistic geometries (see Measuring Masses and Resolving Structure).

How common are changing-look transitions and what drives them?

Large time-domain surveys will measure rates and correlate transitions with accretion and environment, clarifying whether accretion state changes or obscuration dominate (see Variability).

FAQs: AGN Basics

What distinguishes a quasar from a Seyfert galaxy?

In essence, luminosity. Seyfert galaxies are lower-luminosity AGN typically found nearby, where the host galaxy is prominent in the optical. Quasars are high-luminosity AGN that can outshine their hosts, especially at higher redshifts. Spectroscopically, both show similar features (broad and/or narrow emission lines) depending on orientation and obscuration. In the modern view, they are points along a continuum of AGN power rather than fundamentally different phenomena (see AGN Taxonomy).

How big are AGN compared to their host galaxies?

The central engine is tiny on galactic scales. The event horizon of a 108 M black hole is of order a few AU, the BLR is light-days to light-weeks across, the torus spans parsecs, and the NLR extends hundreds of parsecs. Yet, through radiation, winds, and jets, AGN influence regions far beyond these scales, even affecting intracluster gas (see Feedback).

What is the BLR and why are its lines broad?

The broad-line region consists of dense gas moving at thousands of km/s under the black hole’s gravity. Doppler broadening of permitted lines (e.g., Hβ) produces line widths up to several thousand km/s. Measuring these widths and their variability provides virial estimates of SMBH mass (see Measuring Masses).

Why are some AGN radio-loud while others are radio-quiet?

Only about 10% of optically selected quasars are radio-loud with strong jets and extended lobes. The reasons likely include a combination of high black hole spin, large-scale magnetic flux accumulation, and host/halo conditions. Accretion state also matters: low Eddington ratios favor jet production in some models (see Jets and The Black Hole Engine).

Do AGN shut off and turn back on?

Yes. AGN activity is episodic, with duty cycles on timescales from 105 to 108 years. On shorter timescales, changing-look AGN show that spectral states can switch in years, implying rapid changes in accretion or obscuration along the line of sight (see Variability).

FAQs: Methods and Measurements

How do astronomers measure black hole mass in distant quasars?

They use virial methods calibrated by reverberation mapping. A single-epoch spectrum measures a broad-line width (e.g., Hβ, Mg II, or C IV) and continuum luminosity to infer the BLR radius via an empirical radius–luminosity relation. Combining these yields a mass estimate, with systematic uncertainties related to BLR geometry and line selection (see Measuring Masses).

What is reverberation mapping and what does it tell us?

Reverberation mapping monitors the AGN’s continuum brightness over time and tracks the delayed response of broad emission lines. The delay gives the BLR size (light-travel time). Velocities derived from line widths then give a virial mass for the SMBH. Velocity-resolved reverberation data also probe BLR kinematics (inflow, outflow, or rotation). Continuum interband reverberation maps the accretion disk’s radial temperature structure (see Variability).

How is the Eddington ratio estimated for AGN?

Researchers derive a bolometric luminosity by applying wavelength-dependent bolometric corrections to observed bands (e.g., optical or X-ray). Dividing by the Eddington luminosity, which depends on the black hole mass estimate, yields L/LEdd. Uncertainties stem from bolometric corrections, mass estimates, and potential anisotropy or obscuration (see Accretion Physics).

How do X-ray observations constrain black hole spin?

Relativistic broadening of the iron Kα emission line and the reflection continuum encodes the innermost disk radius, which depends on spin. Fitting these features with physically motivated reflection models constrains spin for some AGN. Thermal continuum fitting can also be applied in particular cases. These methods carry modeling uncertainties but provide important clues to SMBH growth histories (see Accretion Physics).

How is AGN feedback quantified observationally?

For radio-mode feedback, the pV work (pressure times cavity volume) required to inflate X-ray cavities provides a measure of mechanical energy injection. For radiative/wind mode, mass outflow rates, velocities, and momentum/energy fluxes are derived from emission and absorption line diagnostics and molecular gas tracers. Comparing these to star formation rates and binding energies of the interstellar medium gauges potential quenching (see Feedback).

Conclusion

Active galactic nuclei unify some of the most extreme and consequential processes in astrophysics: accretion onto supermassive black holes, launch of relativistic jets, and energetic feedback that shapes galaxies and clusters. The orientation-based unified model explains much of the observed diversity, but intrinsic evolution—changing accretion states, clumpy obscuration, and host-driven fueling—adds complexity. Multiwavelength observations reveal the anatomy of AGN, from the UV-bright accretion disk and X-ray corona to the dusty torus and radio jets, while time-domain studies turn variability into a tool for mapping structures on light-day scales.

Open questions about early SMBH seeds, jet launching, and feedback efficiency drive the field forward. With increasingly powerful instruments and surveys, the next decade promises sharper tests of theory, more complete AGN censuses (including the heavily obscured), and deeper insight into the coevolution of black holes and galaxies. If you enjoyed this deep dive, explore our related guides on galaxy evolution, gravitational lensing, and time-domain astronomy—or subscribe to get the next installment delivered to you.

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