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The problem of fermions in the presence of a pseudoscalar plus a mixing ofvector and scalar potentials which have equal or opposite signs isinvestigated. We explore all the possible signs of the potentials and discusstheir bound-state solutions for fermions and antifermions. The cases of mixedvector and scalar P\"{o}schl-Teller-like and pseudoscalar kink-like potentials,already analyzed in previous works, are obtained as particular cases.

Relativistic Effects of Mixed Vector-Scalar-Pseudoscalar Potentials for Fermions in 1+1 Dimensions