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cut in (on something/somebody) = interrupt
examples:
- I ‘m sorry to cut in on your conversation, but it’s really time to go.
- “Just tell us the truth for once!”, Mary cut in.
- “Please, let me say this”, she cut in impatiently.
- I was about to say something when Jake cut in unexpectedly.
- Jennifer cut in and asked if the flight tickets were included in the price.
- I cut in with some useful comments.
- He is so annoying! He cut in on our dialogue several times with some stupid remarks!