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Model-independent description of nonleptonic decays of charmed mesons is achallenging task due to large nonperturbative effects of strong interactions onthe transition amplitudes. We discuss the equivalence of two differentflavor-$SU(3)$-based descriptions of Cabibbo-favored non-leptonic decays ofcharmed mesons to two-pseudoscalars final states including the $\eta$ and$\eta^\prime$ mesons.

Flavor $SU(3)$ in Cabibbo-favored $D$-meson decays