Messages deleted on server don't delete in eM Client?

I am trying eM Client using POP settings. My provider (Verizon) has POP email only so I cannot use IMAP. I used to use Verizon’s web page to access email and after setting up eM Client I cleaned up some messages using their web page - but no matter what I try, eM Client will not synchronize to remove the deleted messages.

I tried it with GMail using POP settings and had the same issue, if I delete in eM Client it will show up deleted in Verizon or GMail (badly, honestly. Deleting should move it to the deleted folder in the server!) but if I delete in the server, it will not delete in eM Client.

Am I missing something? Frankly I like the software but if it cannot synchronize email then I just can’t use it!