couple's ring; matching rings for a couple
Refers to matching or coordinated rings worn by two people as a couple; it is not the general technical sense of English "pairing."
wasei-eigo (Japanese-coined English), from pair ring
We bought couple's rings for our anniversary.
The two of them chose matching rings in the same design.
We decided to get matching rings with my girlfriend to mark the occasion.
The two of them are wearing matching couple's rings of the same design.
We exchanged couple's rings for each other's birthdays.