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"In such a case" is a correct and usable phrase in written English
You would use this phrase to introduce a situation which is similar or relevant to a previously mentioned example. For example, "We can assume that the same principles apply to other situations. In such a case, we must be particularly careful to consider the consequences before acting."
Exact(60)
In such a case, covalence prevails.
In such a case, the snake simply dies.
In such a case, consent does not generate an obligation.
In such a case, there would be no aggregate income.
In such a case, we obtain (413).
In such a case, we write or.
In such a case 'same' cannot mean absolute identity.
In such a case, reasoning is internally dynamic.
In such a case the lumped chain is non-Markovian.
In such a case no melting phase is present.
In such a case we write f z) ≺ F z).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com