Hard X-ray luminosity function, using the p (log λ_sBHAR | ℳ, z) distributions from A18 to infer the AGN fraction and L_X distribution at all ℳ and z. The dashed brown line corresponds to all the X-ray emitters, while the dashed green line corresponds to the objects selected with λ_sBHAR > 0.01. For comparison, the solid purple line shows the XLF from our lightcone using the methodology adopted in this paper, as in Fig. 11. See the caption of Fig. 11 for further details and references to the observed XLFs.