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The phrase 'which otherwise would' is correct and usable in written English
You can use it to introduce a hypothetical or counterfactual situation. For example, "If the train wasn't cancelled, I would have been on time, which otherwise would have resulted in me being late for the meeting."
Exact(60)
Thus, insights have been gained which otherwise would have been extremely difficult to obtain.
These are designed to return to the river water which otherwise would be lost.
fibers recovered from waste water which otherwise would enter the waste stream.
These supranational bodies in sum, make things happen which otherwise would not happen.
This acceleration enabled exploration and examination of the solution space, which otherwise would not have been possible.
This is because they bring some memory of the search history to algorithms which otherwise would have not one.
We implement this model in a technology-enhanced studio-classroom to "visualize" conversations which otherwise would remain abstract to learners.
His procedure cured the women of fistula, which otherwise would have left them incontinent.
These volunteers have undoubtedly kept open mobile and permanent libraries which otherwise would be long gone.
APS says that it will shut down Units 1-3, which otherwise would require about $600 million in environmental improvements.
Normal form theory is shown to be a useful technique providing new insights which otherwise would be difficult to obtain by numerical procedures.
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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