Crossword Genius

Disgusted to live with duke - where one lies, poorly? (7)

Ross

I believe the answer is:

sickbed

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'where one lies poorly?' is the definition.
Although both the answer and definition are singular nouns, I don't understand how they can define each other.

'disgusted to live with duke' is the wordplay.
'disgusted' becomes 'sick' (sick can mean feeling disgusted).
'to live' becomes 'be' ('be' can be a synonym of 'live').
'with' means one lot of letters go next to another.
'duke' becomes 'd' (abbreviation).
'sick'+'be'+'d'='SICKBED'

Can you help me to learn more?

(Other definitions for sickbed that I've seen before include "Patient's resting place" , "Invalid may take to it" , "Invalid's resting place" , "Invalid's place of rest" , "Dicky types here" .)

I've seen this clue in The Guardian.
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