Analytical correction for w_f(r) and ${\overline{m}}_f$ in case of the toy model where only one particle in the pair is weighted by the density contrast δ_Rf. The points refer to the measured data from one of the Covmos realisations, in blue for w_f and in orange for ${\overline{m}}_f$. The upper panel shows the measurements alongside the analytical prediction and the bottom panel presents the relative difference between the measurements and the theory. We show only one Covmos realisations for which we used 100 realisations of depletions to obtain the depleted catalogues and the scale bin in r for w_f is fixed to be close to 20 h⁻¹ Mpc. For the analytic correction we use the depletion down to 1.7% as an anchor and computed from there the expected signal using Eqs. (59) and (61).