Question about tumbler polishing silver figaro,curb etc. chain links

Hi everyone!

I have a question, every time i buy new silver jewelry, figaro/curb chains particulary from 5 up to 15mm widths links, they have very high gloss even inside the links, after some time, the chains tarnish of course, usually the oxidation appears more on the inside of links, a few times i've taken them to jewelry shop for cleaning/polishing, but after getting them back, they never got that same high shine again, the inside of the links are still kind of dull, do you have any tips how to restore them to be like new as far as this high shine goes? What was the case here, maybe the jewelry shop did not had the chains long enough in a tumbler machine maybe?