\intertext not working as intended

[iabarus]

\intertext is a very popular command in LaTeX. Suppose that I have the following LaTeX code:

We cancel out 2
\begin{align*}
  2x + 2y -2 + 2 &= 2x + 2y
      \intertext{and factor out 2}
  &=2(x+y)
\end{align*}

Then pdflatex produces the following output:

make4ht, however, puts the text inside the equation (which is the worst possible outcome):

Obviously, the \intertext part must become a part of the usual HTML. Wouldn't it be possible to replace the opening \intertext{ with \end{align*} and the ending } with \begin{align*}? I once did something like this in JavaScript as a temporary solution (before I switched to make4ht):

latexml.parser.intertext = function(text) {
    for (const align of ["align", "align*"]) {
	var begin_align = text.indexOf("\\begin{"+align+"}");
	while (begin_align != -1) {
	    var end_align = text.indexOf("\\end{"+align+"}", begin_align);
	    var start = text.indexOf("\\intertext", begin_align, end_align);
	    while (start != -1) {
		var end = latexml.parser.bracketClosing(text, "{", start+9+1);
		text = text.modify("}", "\\begin{"+align+"}", end, end+1);
		text = text.replace("\\intertext{", "\\end{"+align+"}");
		start = text.indexOf("\\intertext", begin_align, end_align);
	    }
	    begin_align = text.indexOf("\\begin{"+align+"}", end_align);	    
	}
    }
    return text;
}

The main trick is, of course, preserving the alignment of &. But even if that is not possible, I think that this would be a better solution than what we have right now.

Thanks, Michal!