African country that may produce erotic video (4,7)

I believe the answer is:

cote divoire

I'm a little stuck... Click here to teach me more about this clue!

'african country that' is the definition.
'Cote d'Ivoire' can be an answer for 'african country' (Cote d'Ivoire is an example). I am unsure of the rest of the definition.

'produce erotic video' is the wordplay.
'produce' indicates anagramming the letters (I've seen 'producing' mean this).
'erotic'+'video'='eroticvideo'
'eroticvideo' is an anagram of 'COTE DIVOIRE'.

'may' is the link.

Can you help me to learn more?

I've seen this clue in The Times.

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