Overhang, I do more or less what Kurt tank does, except that if I'm dealing with an older record, I put the record in a new inner sleeve AND outer sleeve, then put that, along with the original outer sleeve, into one of the clear plastic sleeves, in order to preserve the original outer sleeve (and here I'm talking about outer sleeves that are starting to split or otherwise fall apart, etc). (A lot of different sleeves involved there...)
What I probably SHOULD do is stop buying all those sleeves and save the money and use it for some visits to a shrink...
Seriously, although I have had some similar worries that the records might lose their value if I throw away their original inner sleeves, the fact is that most records, even the ones we love dearly, have very limited value resale value, and I have NEVER seen any of the record sellers I deal with try to pump up the value of their merchandise, even the really rare and expensive stuff, with the notation "Contains Original Inner Sleeve!!!" I confess that I do save them sometimes, if they're amusing, but have become pretty cavalier about tossing them into the recycle bin.