Mad cawing - somehow that provides a simple solution (5,4)

I believe the answer is:

magic wand

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'provides a simple solution' is the definition.
I know nothing about this answer so I cannot judge whether it can be defined by this definition.

'mad cawing somehow' is the wordplay.
'somehow' is an anagram indicator.
'mad'+'cawing'='madcawing'
'madcawing' is an anagram of 'MAGIC WAND'.

'that' is the link.

Can you help me to learn more?

(Other definitions for magic wand that I've seen before include "Spell-casting stick" , "Spell stick?" , "Fairy Godmother's baton" , "Wizard's tool" .)

I've seen this clue in The Daily Express.

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