With contrived smile, go through again for under-educated type (12)

I believe the answer is:

semiliterate

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'under-educated type' is the definition.
I can't tell whether this definition defines the answer.

'with contrived smile go through again' is the wordplay.
'with' says to put letters next to each other.
'contrived' indicates an anagram.
'go through again' becomes 'iterate' (I've seen this in another clue).
'smile' anagrammed gives 'semil'.
'semil' next to 'iterate' is 'SEMILITERATE'.

'for' is the link.

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(Another definition for semiliterate that I've seen is " poorly educated".)

I've seen this clue in The Times.

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