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I've had the same problem. I can connect to the remote computer, into the main menu, but when I click on "Remote Control", it disconnects after a few seconds.
I went into "Preferences" on the left menu (under "Remote Control"). Way down the list, under "Reboot Options", click "View Reboot Options". I clicked "Restart LogMeIn". It took me out while it rebooted, then I could click "Refresh" from the host computer menu, and it worked just fine.