Bad hotels ignored entertainment in Venetian setting (3,10)

I believe the answer is:

the gondoliers

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'bad hotels ignored entertainment in venetian setting' is the definition.
I can't tell whether this defines the answer.

'bad hotels ignored' is the wordplay.
'bad' indicates anagramming the letters.
'hotels'+'ignored'='hotelsignored'
'hotelsignored' with letters rearranged gives 'THE GONDOLIERS'.

Can you help me to learn more?

(Other definitions for the gondoliers that I've seen before include "Gilbert and Sullivan operetta" , "opera" , "G&S operetta" .)

I've seen this clue in The Times.

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