How can I find out when I bought it through the jewelry appraisal book?
There is a certificate number on the identification. You can check the authenticity online, and you can see the time when you took it for inspection, but you don't know when you bought it.
Depending on when you bought it, you have to look at the quality guarantee of the jewelry you bought, which has the purchase time on it.
Or if you have a membership card, you can go to the corresponding store to inquire.