Trying to gain some more information in regards to capital gains...

Scenario..

Condo
Bought Condo on 8/18/2014
Sold Condo on 5/4/17.
**Lived in Condo for at least 2 years (I rented it from September 2016 to 4/17). My name the only name on the title. Never received a 1099-S. 70k profit. Sold for 200k.

House
Bought house on 5/20/16
TRYING to sell house after 5/20/18.
**My wife and I's name is on the title. We will make 80k-100k profit off the house.

I'm not very good with tax information but if we sell the house post 5/20/18, is there any reason I couldn't claim the capital gains exemption? Or if I technically used it for the condo, can my wife claim the capital gains exemption on the house? We filed 2017 taxes as married if that makes a difference.

I know there is a rule that you can only use the exemption once every 2 years so I'm just trying to get clarification.

Appreciate any help, Thanks.