Is "wish" correctly used?

English as a Second Language English Vocabulary, Grammar and Idioms
1

Let’s hope and wish that the suspect will be arrested soon.

Is “wish” correctly used?

Thanks.

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2

That is an awkward use of the word ‘wish’. I would leave it out.

Hope and wish have different meanings, but they are close enough in meaning that it almost sounds redundant.

‘Hope’ has more of a positive and realistic feel to it.
‘Wish’ has more of a fantasy feel. It is usually not realistic.

I can run a kilometer in 5 minutes. I hope to do it in 4 minutes and 30 seconds within a year.

My friend flew to Hawaii for vacation. I wish I was there.

In the first sentence there is a realistic hope of achieving their goal. In the second sentence, they are stating that they would like to be in Hawaii, but there is no realistic expectation of it happening.

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3

Let’s hope that the suspect will be arrested soon.
We wish the suspect were/was arrested soon!

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4

‘Wish’ can also mean ‘to want to do something’. E.g.: ‘I wish to make a complaint.’

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