Untrue - fear is wrong, but it's not far off (4,6)

I believe the answer is:

near future

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'it's not far off' is the definition.
I know nothing about this answer so I cannot tell whether this works.

'untrue fear is wrong' is the wordplay.
'is wrong' indicates anagramming the letters.
'untrue'+'fear'='untruefear'
'untruefear' with letters rearranged gives 'NEAR FUTURE'.

'but' is the link.

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I've seen this clue in The Daily Express.

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