  In this paper, we establish some expressions of Mneimneh-type binomial sums
involving multiple harmonic-type sums in terms of finite sums of Stirling
numbers, Bell numbers and some related variables. In particular, we present
some new formulas of Mneimneh-type binomial sums involving generalized
(alternating) harmonic numbers. Further, we establish a new identity relating
the multiple zeta star values $\zeta^\star(m+2,\{1\}_{r-1})$ and specific
multiple polylogarithms by applying the Toeplitz principle. Furthermore, we
present some interesting consequences and illustrative examples.
