I cannot configure Mail 5 on Lion to work the way I want with Google GMail

mail.app gmail

Gmail is not exactly IMAP so needs some manual configuration

You need to go in Mail to the folders under your Gmail account and on Trash/Sent Messages/Deleted Messages/Junk select each one of these and then in Mail choose Mailbox > Use This Mailbox For the corresponding Draft/Sent/Trash/Junk.

I originally did this from a very clear set of instructions that I cannot find now. However another set are here.

I also go to the web Gmail Settings and turn off the Show in IMAP check box for the All Mail tag. This means that I only sync one copy of each mail to the Mac.

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