Completeness of AGN (left) and clusters (right) in the single-band-detected catalog as a function of the intrinsic 0.5–2 keV luminosity in differential (top) and cumulative manners (bottom). Only the sources that are detected as primary counterparts (ID_Uniq) and are correctly classified as point sources (for AGN; left) or extended sources (for clusters; right) are considered. The left panel displays four input AGN subsamples selected with different redshift and N_H thresholds. The right panel displays input cluster subsamples selected with different thresholds of redshift, apparent scale R₅₀₀, and halo mass M₅₀₀ (in M_⊙).