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tokens: Acknowledgements We thank the anonymous referee for useful comments on the manuscript. We thank Jeffrey Chan for useful advice on the determination of the survey depth. We acknowledge financial support from “Programme National de Cosmologie and Galaxies” (PNCG) funded by CNRS/INSU-IN2P3-INP, CEA and CNES, France, and from “Projet International de Coopération Scientifique” (PICS) with Canada funded by the CNRS, France. This research has made use of the NASA/IPAC Extragalactic Database (NED) which is operated by the Jet Propulsion Laboratory, California Institute of Technology, under contract with the National Aeronautics and Space Administration and of the GOLDMine database ( http://goldmine.mib.infn.it/ ) ( Gavazzi et al. 2003b ). M. B. was supported by MINEDUC-UA projects, code ANT 1655 and ANT 1656. A. L. work was supported by the Sino-French LIA-Origin joint program. M. S. acknowledges support from the NSF grant 1714764 and the Chandra Award GO6-17111X. M. F. acknowledges support by the science and technology facilities council (grant number ST/P000541/1). E. W. P. acknowledges support from the National Natural Science Foundation of China through Grant No. 11573002. K. S. acknowledges support from the Natural Sciences and Engineering Research Council of Canada (NSERC).