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The phrase "a formula that" is correct and usable in written English.
You can use it when referring to a specific formula or method that is being described or defined in a particular context.
Example: "The scientist presented a formula that could accurately predict the weather patterns for the upcoming season."
Alternatives: "a method that" or "a procedure that".
Exact(55)
It's a formula that has proven successful.
It was a formula that seemed to have taken root.
It is a formula that seems to be working.
"We have been searching for a formula that works".
It is a formula that fits the regime's agenda.
Yet it is a formula that never fails.
It's a formula that works in all manner of stories.
It was a formula that had run its course.
We have had a formula that worked for us.
"That's a formula that looks familiar to us," Ryan said.
The number needed is determined by a formula that is applied in each Congressional district.
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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