Lip Synching!
I was watching the first song "Have ever heard a Shakespeare play" and I noticed that the words are about 1/2 second fast of the lip movement. If it were the other way around, you might interpret that to be the difference between the speed of light and sound in air, but the sound is first. Therefore, the singing must be dubbed in. Now, it may have been done with the original actors in a recording studio or done by professionals, but the singing isn't live, that's fore sure.
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