Crossword Genius

Yelled and ran around, displaying great erudition? (9)

Ross

I believe the answer is:

learnedly

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'displaying great erudition?' is the definition.
I can't judge whether this defines the answer.

'yelled and ran around' is the wordplay.
'and' says to put letters next to each other.
'around' indicates an anagram.
'yelled' put after 'ran' is 'ranyelled'.
'ranyelled' is an anagram of 'LEARNEDLY'.

Can you help me to learn more?

(Other definitions for learnedly that I've seen before include "showing great wisdom" , "in academic style" , "With erudition" .)

I've seen this clue in The Independent.
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