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Abstract We propose a leptoquark model with two scalar leptoquarks S 1 3 ¯ 1 1 3 $$ {S}_1\left(\overline{3},1,\frac{1}{3}\right) $$ and R ˜ 2 3 2 1 6 $$ {\tilde{R}}_2\left(3,2,\frac{1}{6}\right) $$ to give a combined explanation of neutrino masses, lepton flavor mixing and the anomaly of muon g − 2, satisfying the constraints from the radiative decays of charged leptons. The neutrino masses are generated via one-loop corrections resulting from a mixing between S 1 and R ˜ 2 $$ {\tilde{R}}_2 $$ . With a set of specific textures for the leptoquark Yukawa coupling matrices, the neutrino mass matrix possesses an approximate μ-τ reflection symmetry with (M ν ) ee = 0 only in favor of the normal neutrino mass ordering. We show that this model can successfully explain the anomaly of muon g − 2 and current experimental neutrino oscillation data under the constraints from the radiative decays of charged leptons.