Without knowing your servers mode, update status, contribs, custom setups, system config, no-one can answer with any degree of certainty and thats because what you are seeing is not what most are experincing. The answers to the questions help to triage whats happening
Totally agree, way too many unknowns, especially with the external mail filter, as well as the OPs apparent rudeness and roundabout way of asking questions, and attacking those that are trying to help, but that might be a cultural and/or language issue.
Anyway, back to the original duplicates problem; my advice is to create a new email account and only access it using webmail (no outlook, thunderbird, etc). Test this account thoroughly using webmail only. See if the duplicates show up again in webmail. If no duplicates then this shows that the mail server and filter aren't causing the issues.
I'm still guessing it's an IMAP synchronization quirk, but it's hard to be sure with the lack of info.