Implied. If they are wearing them then we can assume they are their rings.
I think 우리 while meaning we, also indicates the possessive. In the same way its used as our in 우리 집. Our house.
the way I understand it is that whenever you use a noun where you need to emphasize that it's plural 들 is used. whichever noun.
I like the option of "We don't take rings off." Now that's proper commitment to jewelry wearing.
Why can't it be "We take off the rings"? i put 'the' instead of 'our'. Is this really wrong?