Attempt to erase discord produced by awful cheater and liar (5,3,3)

I believe the answer is:

clear the air

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'attempt to erase discord produced' is the definition.
I know nothing about this answer so I can't tell whether it can be defined by this definition.

'awful cheater and liar' is the wordplay.
'awful' indicates an anagram.
'and' is a charade indicator (letters next to each other).
'cheater'+'liar'='cheaterliar'
'cheaterliar' anagrammed gives 'CLEAR THE AIR'.

'by' is the link.

Can you help me to learn more?

(Other definitions for clear the air that I've seen before include "Extractor fan could" , "Defuse a tense situation" , "Relieve a situation of tension" , "To simplify the condition" , "Settle misunderstandings" .)

I've seen this clue in The Guardian.

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