Find duplicates in two lists, including partial dups (Macintosh)

[bythecshore]

I have two columns of company names. I want to find names that exist in both (duplicates). But I also need to have partial matches, so that a "Hilton" in column A shows as a duplicate for "Hilton Garden" in column B.

I got part of the way there using the duplicate function in conditional formatting, but I didn't get the partial matches, unless I did it wrong.

Thanks in advance!