And for some reason if they are already refrigerated they need to stay refrigerated no matter how old.

It has to do with washing. Eggs, fresh from a chicken’s poophole, have a protective layer around them that allows you to store them at room temperature. If you wash them though, the protective layer disappears and the egg shell becomes porous, and as a result you need to refrigerate them. If you buy eggs that are already refrigerated, they are likely refrigerated because they have been washed, so you should keep them refrigerated as well.