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In the first part of this work we show the decoupling (up to contact terms)of redundant degrees of freedom which appear in the covariant description ofspin two massive particles in $D=2+1$. We make use of a master action whichinterpolates, without solving any constraints, between a first, second andthird order (in derivatives) self-dual model. An explicit dual map betweenthose models is derived. In our approach the absence of ghosts in the thirdorder self-dual model, which corresponds to a quadratic truncation oftopologically massive gravity, is due to the triviality (no particle content)of the Einstein-Hilbert action in $D=2+1$. In the second part of the work, alsoin $D=2+1$, we prove the quantum equivalence of the gauge invariant sector of acouple of self-dual models of opposite helicities (+2 and -2) and masses $m_+$and $m_-$ to a generalized self-dual model which contains a quadraticEinstein-Hilbert action, a Chern-Simons term of first order and a Fierz-Paulimass term. The use of a first order Chern-Simons term instead of a third orderone avoids conflicts with the sign of the Einstein-Hilbert action.

Dual descriptions of spin two massive particles in $D=2+1$ via master actions