A moim zdaniem można pominąć pierwsze lub drugie ale nie oba naraz.
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When expressions are joined by and, but or or, we often leave out repeated words or phrases of various kinds.
a knife and (a) fork
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Note that when two verbs, objects, etc are the same, it is not always the second that is left out. We may have to leave out the first to avoid confusion, or to produce a simpler word order and sentence structure.
Cats (catch mice) and dogs catch mice.
I can (go) and will go.
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