iTunes match and external hard drive
I have stored most of my music on an external hard drive. Now I am using iTunes match and each time I try to sync them it fails. The problem occurs ones you disconnect the hard drive and try to play a song out of the cloud. Each time I try to play some of the externally stored songs the file location is not found although it should be in the cloud! From other devices it also does not work, e.g. when trying to play via Apple TV I see the songs but they are not clickable. Can anyone help with a practical solution? I certainly cannot copy all my music back to my Mac, that would simply eat up all my storage.
MacBook Pro, Mac OS X (10.7.3)