  In this paper, we present some identities for multiple zeta-star values with
indices obtained by inserting 3 or 1 into the string 2,...,2. Our identities
give analogues of Zagier's evaluation of \zeta(2,...,2,3,2,..., 2) and examples
of a kind of duality of multiple zeta-star values. Moreover, their
generalizations give partial solutions of conjectures proposed by Imatomi,
Tanaka, Wakabayashi and the first author.
