how to filter out blacklist addresses

I have many clients on a blacklist which unsubscribesd over the years. Now I have to migrate all my addresses from my old newsletter program to a new tribulant list. I can export only ALL addresses (including unsubscribers) and the Blacklist itself. How can I manage it that nobody on the blacklist gets into my new Tribulant Mailinglist. (Or will be excluded while the sending process - as my old program handled this) Is there a way to filter blacklisted clients out?

Cheers Gerhard