I have a specific mail setup on my mac where I use Mail.app to access my Gmail via IMAP, and the app filters emails into folders for my different projects, school, etc. The problem is that whenever Mail.app moves an email into a folder (out of the main Inbox), it gets put in the Gmail Archive (All Mail), and then is no longer accessible via my iPhone - i.e. when I search for it, it's not there. Is there a way to make emails in folders available on iPhone/iPad, preferably actually synced with the device so you have the real folders from Mail.app available?