The difference between Chip away and Plug away
When used as verbs, chip away means to reduce or weaken bit by bit, whereas plug away means to persist or continue, as with an effort.
check bellow for the other definitions of Chip away and Plug away
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Chip away as a verb (idiomatic, intransitive):
To reduce or weaken bit by bit.
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Plug away as a verb (informal):
To persist or continue, as with an effort.
Examples:
"He kept plugging away at the work until it was done."