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Fig. 10.

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Probability density function (PDF) of the λsBHAR parameter for the three SMBH populations hosted in the MQN01 (red), SSA22 (blue) and Spiderweb (green) protoclusters. The solid lines represent the λsBHAR PDFs obtained using an iterative procedure that incorporates additional artificial sources, created by randomly varying LX and M* within their 1σ uncertainties. The dashed lines show the λsBHAR PDFs without applying this iterative procedure, with the number of AGN indicated in brackets in the legend.

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