Follow-up Comment #1, bug #344 (project tex4ht):
The issue here is that \center shouldn't be used that way. It starts a
trivlist environment and it needs to be closed using \endcenter. You should
use `center` environment, as there is a configuration for this envionment in
tex4ht.
---------
\item {
Item 2
\begin{center}
This is a centered text
\end{center}
Something about 2
}
---------
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