Crossword Genius

Extend an invitation to sleep on the floor? (7,3)

Ross

I believe the answer is:

stretch out

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

'extend' is the definition.
(stretching out is a kind of extending)

'an invitation to sleep on the floor?' is the wordplay.
I cannot really see how this works, but
'on' could be 're' ('on' can be mean 'with reference to') and 're' is present in the answer.
'the' could be 't' (the is pronounced as a 't' sound in some dialects) and 't' is found within the answer.
This explanation may well be incorrect...

Can you help me to learn more?

(Another definition for stretch out that I've seen is " relax".)

I've seen this clue in The Globe and Mail.
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