Perhaps an adjacent column where you remove all these known "strings" that make the names not match. This will remove "private owned" from all the strings...
=TRIM(SUBSTITUTE(A1, "private owned", ""))
You can add more like so:
=TRIM(SUBSTITUTE(SUBSTITUTE(SUBSTITUTE(A1, "private owned", ""),"S/B", ""),"Company", ""))
Copy the formula down the whole column, then do your sorting/match tests.
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