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Nope! There's no reason at all to believe that the algorithm can do "multiple sorts efficiently" in general. It is true that the algorithm can take major advantage of pre-existing order, but that has nothing in general to do with multiple sorts. So if this needs to be said at all(*), it doesn't belong in the "multiple sorting" section at all.

(*) About "at all": Python the language doesn't guarantee its sort method can take any advantage of pre-existing order. That was a primary goal of "timsort", but remains an implementation detail rather than a language feature.