Virgil, I admit, contains work from another poet (5)

I believe the answer is:

iliad

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'work from another poet' is the definition.
'iliad' can be an answer for 'work' (I've seen this before). I'm not sure about the 'from another poet' bit.

'virgil i admit contains' is the wordplay.
'contains' says the answer is hidden in the clue.
'ILIAD' is hidden within 'virgil i admit'.

Can you help me to learn more?

(Other definitions for iliad that I've seen before include "The -----, Homeric epic" , "literary work" , "Classic" , "LITERATURE" , "epic work" .)

I've seen this clue in The Guardian.

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