the total flux-density contributed by this hypothetical component is 80%. Similarly, if we speculate that the 160-$\mu$m continuum in ALESS 49.1 has an extended component identical in size to that in ALESS 57.1 ($R_\mathrm{1/2}^\mathrm{ext}=0.67$ arcsec), the 3$\sigma$ upper limit on the flux contained in this hypothetical component is 50%.

How will the extended components in ALESS 49.1 \[\] emission and ALESS 57.1 160-$\mu$m continuum contribute to the observed \[\]/160-$\mu$m surface brightness distribution? The half-light radius of the ALESS 57.1 160-$\mu$m extended component is well below the maximum recoverable scale (1.9 arcsec) and therefore should be fully accounted for in the synthesized images. This is supported by the results from the spectral energy distribution modeling (Section \[subsec:SED\_models\]), which indicate that the 160-$\mu$m continuum is not significantly resolved out. For the \[\] emission, the half-light radius of the extended component in ALESS 49.1 is comparable to the maximum recoverable scale and some emission is likely resolved out in the synthesized images. However, while the extended \[\] component in ALESS 49.1 dominates the total \[\] luminosity, it contributes only between 5–20% of the surface brightness across the inner $R<2$ kpc region. It is for this reason that our analysis in Sections 4.2, 4.3 