Fig. to ignore something on purpose. John could have prevented the problem, but he looked the other way. By looking the other way, he actually made the problem worse.
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She just looked straight through me
to behave as if you do not see someone when you look at them, either because you do not notice them or because you are ignoring them
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My specific question: I have found those explanations in both the Cambridge and Oxford dictionaries. Nevertheless, I have just found sentence below in the book English Grammar in Use. Thus, I am wondering if the bold parts mean the same thing and/or are interchangeable?
I saw Sue in town yesterday, but she didn't see me. She was looking the other way.
Any help would be appreciated.