  We propose two models based on the $SU(3)_C \times SU(3)_L \times U(1)_X$
gauge symmetry, each incorporating distinct inverse seesaw mechanisms for
generating neutrino masses at the radiative level. Therefore, neutrino masses
are suppressed by the radiative nature of the mass generation mechanism, which
occurs after the spontaneous breaking of the global lepton number symmetry.
Both scenarios discussed here are characterized by the presence of vector-like
charged leptons, which are involved in generating the masses of the Standard
Model charged leptons. These additional vector-like fermions contribute to the
anomalous magnetic moments of the electron and the muon. We perform a detailed
analysis of the scalar sectors, show that these models can successfully
accommodate the observed baryon asymmetry through resonant leptogenesis, and
compute charged lepton flavor-violating decays, such as $\mu \rightarrow e
\gamma$. We discuss the constraints of the model arising from these processes
and those associated the non-unitarity of the lepton mixing matrix.
