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A pun and a metaphor are both figures of speech, but they serve different purposes and are constructed differently.

Pun:

A pun is a form of wordplay that exploits multiple meanings of a term or similar-sounding words for a humorous or rhetorical effect.

Example: "Time flies like an arrow; fruit flies like a banana." (The pun here plays on the different meanings of "flies.")

Metaphor:

A metaphor directly compares two different things by stating that one thing is another, highlighting a particular quality or characteristic they share.

Example: "Time is a thief." (This metaphor compares time to a thief, suggesting that it steals moments from our lives.)

In summary, a pun is used for humor by playing with words, while a metaphor is used to make a direct comparison to convey deeper meaning or highlight similarities.