Outstanding Deposits and Withdrawals

On my Bank Rec Report, I have a few items under Outstanding Deposits and Withdrawls from years ago. They go back as far as 2002. My accountant is wondering if we can't clear those out somehow.  Wondering how I might do this? I saw the article about making an adjusting entry in Cash Management and it will only post to the GL but I'm nervous to try it.  Once I make that entry, will those entries then show up on my bank rec and I would clear those and the old entries?  Just not sure how this would work.

TIA!

Annie