How exactly did you "invest"? Do you just remember "buying some BTC" or something?

The point of my line of questioning is trying to figure out what wallet you might have used... or where you might have bought the BTC from so that you can figure out exactly what these 32 characters are... and whether or not the 2 sets of 32 characters need to be put together to make a 64 character HEX private key... or if they're something else entirely.

Without knowing exactly how you got the BTC, or where you had stored it... these 32 hex characters may have nothing at all to do with BTC...

So, where exactly did you find these 32 characters? were they written down on paper? where they in an email? are they marked as "BTC Key" or with some other notes to indicate that they're actually related to Bitcoin? Or did you just find 32 random hex characters somewhere and you just believe that they're related to Bitcoin because you "invested in 2010 2011"?