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We perform polylogarithmic reductions for several classes of infinite sumsmotivated by Z.-W. Sun's related works in 2022--2023. For certain choices ofparameters, these series can be expressed by cyclotomic multiple zeta values oflevels $4$, $5$, $6$, $7$, $8$, $9$, $10$, and $12$. In particular, we obtainclosed forms of the series $$\sum_{k=0}^\infty\frac{x_0^k}{(k+1)\binom{3k}k} \\ \text{and}\ \ \sum_{k=1}^\infty\frac{x_0^k}{k^2\binom{3k}k}$$ for any$x_0\in(-27/4,27/4)$.

Evaluations of $ \sum_{k=1}^\infty \frac{x^k}{k^2\binom{3k}{k}}$ and related series