The phrase "to hinge" is correct and usable in written English.
It is typically used to indicate that something depends on or is determined by something else.
Example: "The success of the project will hinge on the team's ability to collaborate effectively."
Alternatives: "to depend on" or "to be contingent upon".
Dictionary
to hinge
noun
A jointed or flexible device that allows the pivoting of a door etc.
synonyms
Exact(59)
Her husband's entire existence seemed to hinge on it.
On these two events, much was to hinge.
The indictments are widely believed to hinge on his work.
A presidential election appeared to hinge on those hinges.
Mr. Goodnight and others here say the race is certain to hinge on the economy.
That prospect now appears to hinge on Kobani and on how Erdoğan chooses to react.
Christopher Nolan films all tend to hinge on, for want of a better word, a gimmick.
It hardly seems just for a team's fate to hinge on such a small sample size.
"A lot of it is going to hinge on the freshmen.
Mr. Brown's case also appeared to hinge on issues of medical supervision when Judge Malcolm J.
Because of this, a flotation is likely to hinge on successful expansion overseas.
Write better and faster with AI suggestions while staying true to your unique style.
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