Any Police investigators out there? Just wondering what'll happen next-?

[daffodil16]

Some stolen jewelry of mine appears to have shown up on a former neighbor's son's girlfriend's (i know....) finger- on her facebook page. I filed a break-in report (it's been almost 4 years ago) and listed everything, mostly jewelry, that was stolen. These former neighbors are KNOWN, throughout town and by the cops themselves, as thieves. I contacted the police, gave them the info. i know and the receipt for the ring, i told them that of course if i could just SEE the ring in person i would know for positive, but i'm 99.98% positive it's my ring in the pic- it's a close-up, and my ring has unique features. It's been almost 2 weeks since i gave them the new info.- what will they do next? Just wondering about a timeline or what to expect- any answers are appreciated- thanks