How does Google Play show two different phones of the same model?

Question

Google

Hello!
In Google Play, on the application page, there is a phone stolen from me (three months ago), called NCC LGE LG-P500. Then I saw an ad, they offer the same phone, bought from hand, also three months ago. The city is small, it is quite possible that my phone.

What happens if I set up my account on this phone if they are different phones? Will there be another one, or will it be under the same name?

What else can you learn about the phone from Google Play? What is the ID thread, or IMEI?

Thank you!

Answer 1

Tell me at least how it ended? =)

Answer 2

IMEI can be found on the phone box.
No, if not he will appear as a new phone.