noun
a length or extent of something, especially when it is great or impressive
preposition
a word governing, and usually preceding, a noun or pronoun and expressing a relation to another word or element in the clause
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The idea that aliens visited Earth is beyond a stretch of the imagination for many scientists.
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Thinking that I could finish all my work in one day is a real stretch of the imagination.
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Believing that he can beat me in a race is a real stretch, if you ask me.
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The story he told was so unbelievable, it required a real stretch of the imagination to believe it.