The Kharkov potential is a recent field theoretical model of nucleon-nucleon interaction that has been built up in the framework of the instant form of relativistic dynamics starting with the total Hamiltonian of interacting meson and nucleon fields and using the method of unitary clothing transformations. The latter connect the representation of “bare” particles and the representation of “clothed” particles, i.e., the particles with physical properties. By trying to overcome available inconsistencies when constructing the models of 2N- and 3N-forces, we will show how one can within the clothed particle representation build them on one and the same physical footing. Unlike our preceding explorations we show fresh results with best-fit values for adjustable parameters revisited.