L_IR,  SFR, L_IR,  AGN, and plane. Left: as a function of L_IR,  SFR. The filled circles and arrows mark the compilation of our measurements and 3σ upper limits at z ∼ 1.2 and from the literature (Boogaard et al. 2020; Liu et al. 2021), color coded based on f_AGN. The thick blue lines indicate the best linear fit to the whole sample at the median L_IR,  AGN = 10¹⁰ L_⊙ with intercept fixed to α = 0 (Eq. (2), solid line) or free to vary (dashed line). Thin blue lines represent random extractions from the posterior distribution of the best-fit model with fixed intercept α = 0. The purple line shows the best fit with fixed intercept for the sample of galaxies with f_AGN + 1σ_fAGN > 20% or an X-ray detection. Center: plane, with symbols marking the same sample as in the left panel but now color coded according to L_IR,  AGN. Solid lines indicate the loci of the best-fit model of Eq. (2) at fixed L_IR,  AGN as labeled and color coded as the individual symbols. Right: plane, with symbols marking the same sample as in the other panels but now color coded according to L_IR,  SFR. Solid lines indicate the loci of the best-fit model of Eq. (2) at fixed L_IR,  SFR as labeled and color coded as the individual symbols. We report the gray error bars on L_IR,  AGN to show the weighting scheme implemented for sources with f_AGN < 1%.