We have just received new cards following our purchase of a resale at BWV and they do not display any expiry date. They simply show the membership number, name, use month and "member since" date which is that of the original purchaser.
I asked for a new card about 2 years ago and the ones that I received were much better. More like regular credit cards with raised numbers, not like the old ones that would rub off. Just call them and request new cards.
I got new cards last week. I bought a resale at OKW, and got two seperate mailings from DVC. One with cards for the new contract, and one with new cards for my original BWV.