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"пройтись по чьему-либо адресу"

To walk up and down someone's address. idiom for =>

To make a snide remark about someone; to make fun of someone; to make an implied criticism.

Cf. To have a...

Differences are how they are used. Somethings involved:

кое-что this is like 'a thing or two' => 'He began to understand a thing or two (a certain something or other).' This would use кое-что....