Generally (and I emphasize "generally," because as soon as I say this, there will be people who come up with examples of when it's correct) "off of" will show up in informal speech and equally informal writing. Don't put a lot of time into analyzing it - very, very often, people don't put a lot of thought into writing it.
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CliveHi,Ok. And if I said 'The song of the self-titled album' ? Would I be changing the sense of it?
Could it also be correct to put it this way: The song OFF the self-titled album ? (without off of).
Yes, definitely. Much, much better.
Best wishes, Clive