Involve mixing an egg with additive (6)

I believe the answer is:

engage

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'involve' is the definition.
(I've seen this in another clue)

'mixing an egg with additive' is the wordplay.
'mixing' indicates anagramming the letters.
'with additive' becomes 'e' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'an'+'egg'='anegg'
'anegg' is an anagram of 'engag'.
'engag'+'e'='ENGAGE'

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(Other definitions for engage that I've seen before include "Hire; get to grips with" , "Hold" , "Join" , "Hire for work" , "Secure" .)

I've seen this clue in The Mirror.

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