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It is known that lepton number violating (LNV) processes at low energies in combination with sphaleron transitions typically erase any preexisting baryon asymmetry YB. In this talk, I show that the presence of a dark sector with a global symmetry U(1)X, which features Asymmetric Dark Matter (ADM), invalidates this statement. Considering several models with different types of ADM, I find that the mass of the latter is generically of the order of a few GeV or below.