This factor doesn't come into play in this case.
这个因素在这里不起任何作用.

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Come into 后面可以加一个名词来表达不同的意思. 如例句中所讲的 come into play 就老师上课时喜欢用的片语之一. Come into effect 跟 come into play 很类似, 所以这句话也可以说成, This factor doesn't come into effect in this case.

This factor doesn't come into play in this case.
This factor doesn't come into play in this case.

come into +名词　
This factor doesn't come into play (effect)in this case

This  factor  doesn't  come  into  play  in  this  case .
This  factor  doesn't  come into  effect  in this  case.

This factor doesn't come into play in this case.
This factor doesn't come into effect in this case.
This factor doesn't work in this case.

come into play
come into effect
come into power
come into existence
come into being

This facter doesn't come into play in this case.

This factor doesn't come into play in this case.

Is it a oral expression??

I am new here!!!