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The phrase "on which the" is grammatically correct and can be used in written English.
It is commonly used to introduce a dependent clause or phrase that provides additional information or clarification about a specific subject or topic. Example: The bridge, on which the workers had spent months constructing, collapsed due to strong winds.
Exact(59)
The issue is one on which the candidates disagree sharply.
But if the note on which the Clinton administration left was mischievous, the one on which the Bush administration arrived was assiduously serious.
16h, the date on which the State Dept.
The fulcrum on which the show turns is Portugal itself.
"This is the principle on which the court was built".
It was "the empire on which the sun never set".
Tells about the fill on which the buildings rest.
Who owned the land on which the house was constructed?
That's the falsehood on which the movie's fiction depends.
Mentions some of the subjects on which the scientists spoke.
Norton motorbike on which the two friends venture forth.
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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