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Is there a way to be able to play the DVD?
Probably. First, check your "CD s& DVDs" pref panel and see what you've set as the default actions when you insert a CD/DVD. You may not have DVDs set up to automatically play. Second, open DVD Player and use the "Open" command, then select the DVD from there.
I don't think you can 'play' a DVD by double-clicking those "TS" files.