A CPL grants PPL privileges so no real need for both
However, I still have my PPL wallet and bits of paper which are still in order, I renew my Class one every six months so the previous class one which expires is still valid as a class two so, to all intents and purposes, I hold valid paperwork for both. Not sure I can think of any use for that, legality notwithstanding.
Cheers
Whirls