Missing Sent Mail

I am using Apple Mail 6.1/Mountain Lion. The account is Google IMAP. All my Apple Mail boxes and Google Folders/Labels are synced and I can view all the mail messages in my Apple Mail mailboxes except for Sent. I only see the last 2 days of Sent Mail in my Apple Sent mailbox. All my sent messages appear in my Google Sent Mail folder/label. How can I sync all my Sent Mail to my Apple Sent mailbox?

iMac, OS X Mountain Lion, MacBook Air, IPad v1, Apple TV v2