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Fabled character - a politician and a graduate (3,4)

Ross

I believe the answer is:

ali baba

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

'fabled character' is the definition.
'ali baba' can be an answer for 'character' (character in the One Thousand and One Nights). I'm not sure about the 'fabled' bit.

'a politician and a graduate' is the wordplay.
'politician' becomes 'lib'.
'and' means one lot of letters go next to another.
'graduate' becomes 'BA' (someone with a Bachelor of Arts degree).
'a'+'lib'+'a'+'ba'='ALI BABA'

Can you help me to learn more?

(Other definitions for ali baba that I've seen before include "'...... and the Forty Thieves (3,4)'" , "1001 Nights hero" , "Arabian Nights character" , "Pantomime character who took on 40 thieves" , "fictional character)" .)

I've seen this clue in The Daily Express.
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