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I would like to seek someone help to comment following sentences.

1.) Damaged cables of motor for pump no.1 and damaged cables of button for pump no.2 have been found.

2.) Damaged cables of motor and button have been found for Pump no.1 & no.2 respectively.

Sentence no.1 is it same meaning of sentence no.2

3) Damaged X cables of motor for pump no.1 and damaged Y cables of button for pump no.2 have been found.

How simplify the sentence no.3 ?
Comments  
2.) Damaged cables of motor and button have been found for Pump no.1 & no.2 respectively. - This can mean 'Damaged cables of motor for Pump no.1 & button for Pump no.2 have been found."

Unless I'm restricted in the number of words to use, I would use sentence 1 and sentence 3 to avoid possible misunderstandings.
2.) Damaged cables of motor and button have been found for Pump no.1 & no.2 respectively. - This can mean 'Damaged cables of motor for Pump no.1 & button for Pump no.2 have been found."

I see connflicts in logic with this sentence. First, "damaged cables were found" sounds like they were lost. and now someone has found them. If there were pump motor problems caused by the defective cables, then it should be expressed as follows:
The failure for pump # 1 and switch problem on pump # 2 were believed to have been caused by the defective cables which have been located.