  We discuss the classification of 2-solvable Frobenius Lie algebras. We prove
that every 2-solvable Frobenius Lie algebra splits as a semidirect sum of an
n-dimensional vector space V and an n-dimensional maximal Abelian subalgebra
(MASA) of the full space of endomorphisms of V. We supply a complete
classification of 2-solvable Frobenius Lie algebras corresponding to
nonderogatory endomorphisms, as well as those given by maximal Abelian
nilpotent subalgebras (MANS) of class 2, hence of Kravchuk signature (n-1,0,1).
In low dimensions, we classify all 2-solvable Frobenius Lie algebras in general
up to dimension 8. We correct and complete the classification list of MASAs of
sl(4, R) by Winternitz and Zassenhaus. As a biproduct, we give a simple proof
that every nonderogatory endormorphism of a real vector space admits a Jordan
form and also provide a new characterization of Cartan subalgebras of sl(n, R).
