Nearby in a cul de sac (5)

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'nearby' is the definition.
(similar in meaning)

I can't explain the remainder of the clue.

(Other definitions for close that I've seen before include "on very affectionate terms" , "Near - conclusion" , "Near - shut" , "Imminent" , "Complete, a deal or case say" .)

I've seen this clue in the Evening Standard.

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