You have to buy those decks for 10 gems each and then use the deck until the requirements are fulfilled.
Actually there are 52 game award badges. If you deduct the 10 rank badges there are still 42 others. What 13 of the 42 badges are you asking about?
You can see a list of the badges and the requirements for each one on the BadgeHungry page for Solitaire Blitz:
timsum1 – Hi. The ones you are asking about are the ones where you have to buy, for 10 gems each, the specific card deck and then complete the requirements.
If you go to Classic Badge Central and look at all the badges for the game, you can see what the decks and their requirements are.
To me, some look relatively easy and quick, and others no so much…lol.
Good Luck, it’s a fun game!