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The phrase "reach the state" is correct and usable in written English.
It is usually used to reference a state of being, either physical or metaphorical. For example, you could say: "He worked hard through the night and finally reached the state of exhaustion."
Exact(56)
The axial dispersion model's degree of mixing does not reach the state of maximum mixedness.
Hylton 21-100) was not supposed to reach the state title game, Smith has said.
We did not explore all (P,T) paths to reach the state with high Tc.
If it survives, however, it may require up to 40 days to reach the state of voluntary flight.
(He instructed the faithful how to reach the state of Nevada because nirvana was too hard to achieve.
You can work out exactly when you will reach the state pension age using the government's state pension age calculator.
The Second Circuit did not reach the state law claims because it held that federal common law governed.
Similar(4)
Experiment results on two challenging datasets UCF-101 and HMDB-51 demonstrate that the proposed method can reach the state-of-the-art performance.
The required time to reach the state-state decreases with respect to λ and increases with regard to λ r for both types of oscillating shear.
The two routes split in San Jose at the junction of First and Second Streets near Keyes Street, with the El Camino route mostly following the present SR 82 and the Bayshore route using locally-maintained Second, Reed, and Fourth Streets to reach the state-maintained Bayshore Highway.
Low loading CMOS cross coupled series resonance oscillator is used to reach the-state-of-the-art LTE phase noise specifications.
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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