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In the framework of the 3-3-1 model with neutral leptons, we haveinvestigated the lepton-flavor-violating sources based on the Higgs massspectrum which has two neutral Higgses identitied with corresponding ones inthe Two-Higgs-Doublet model (THDM). On the $13~\mathrm{TeV}$ scale of the LHC,we point out the parameter space regions where the experimental limits of $e_i\rightarrow e_j\gamma$ decays are satisfied. These regions depend heavily onthe mixing of exotic leptons but are predicted to have large $h^0_1\rightarrow\mu \tau$ signals. We also show that $\mathrm{Br}(h^0_1\rightarrow \mu \tau)$can reach a value of $10^{-4}$.

Large signal of $h \rightarrow \mu \tau$ within the constraints of $e_i \rightarrow e_j\gamma$ decays in the 3-3-1 model with neutral leptons