A rented movie can only live on one device at a time. Open the iPod's Movie sync settings tab in iTunes with the iPod connected and select the movie to transfer it to the iPod.
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64GB iPad 3, 32GB iPhone 4, 1G 16GB touch, 4G & 6G Silver 16GB nano, 5G 60GB iPod, 1G AppleTV, 2G ATV, 2.5GHz 17" MacBook Pro
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