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The phrase "with the formula" is grammatically correct and commonly used in written English.
It is typically used to introduce a specific formula or equation that will be mentioned in the sentence. Here is an example: "Scientists were able to successfully replicate the results of the experiment with the formula provided by the previous research team."
Exact(59)
Don't mess with the formula.
And everybody seems happy with the formula.
Mr. Outlaw tinkered with the formula.
Not yet gone — and with the formula — alone!
Why mess with the formula when you can extend the brand?
He took particular issue with the formula for the perfect penalty.
And I think with Justice League I think they're trying to play around with the formula.
After much trial and error, he came up with the formula for the Java Log.
A floating stadium with the Formula 1 Luton Grand Prix underneath.
Eleven albums in, and LA's grizzled funk-rock reprobates are tinkering with the formula.
Tinker too much with the formula and you risk spoiling what made it a hit.
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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