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list manipulation - Convert Part of Subscript Files to Math Form



I have french subscript file here: https://uploadfiles.io/iehon


If you download it an open it with Word, you can see that the math sections are but between $$ and <\i>:


enter image description here


To import the file I use:


(*Importing*)
importSub = Import[FILEPATH, "Text", CharacterEncoding -> "UTF8"];
(*Deleting empty list elements*)
subtitle = DeleteCases[StringSplit[ToString[importSub], "\n"], ""];

In the end I want to convert the subtitles into Latex using TeXForm[...] but therefore, I need to convert the parts between $$ and $<\i>$ to Mathematica Math Input.



Does anyone know how I can do that ?




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