Do chests disappear in the inventory?

I haven't earned 1500 sg yet for both the Easter Chest and March Premieres. Do I have a time limit before they disappear?

I guess the time limit is a month because i want to open last month chests and can't find those.

yes, most of them are time limit

Chests such as weekly, daily and monthly ones which are free don't dissapear from your inventory. They are stored there forever (well, as long as your account is active!).
Same thing goes with the chests you buy or get from codes, they also stay.

All event chests lasts only 1 month since the day they were released. For the Easter event, chests are available from 19.04. and they will last till 18.05.!

Cheers

Thank you Sparrow94 for that answer!