[duckman]

“I’ve noticed previously that sometimes, not always, neither of them wear their wedding band.”
Possible water retention. Too much salt in their diet maybe.

[screaminsunshine]

Fishermen don’t wear rings. Gets caught in the gear.

[Covenantor]

People who work with their hands, especially commercial fishermen don’t wear any rings. A snagged line can catch on the ring even through gloves and result in degloving of the skin on the fingers or worse.

Warning graphic images!
http://www.google.com/search?client=safari&rls=en&q=degloved%20finger&ie=UTF-8&oe=UTF-8