This paper concerns 2-solvable n-Lie algebras L over a field F. We prove that the Cartan subalgebras of L exist when the characteristic of F is not two. We then describe the structure of a class of 2-solvable n-Lie algebras using Frattini subalgebras. At last, we show that the n-Lie algebras in this class are the only 2-solvable n-Lie algebras when the characteristic of the field is zero.
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