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The phrase "and apply the method" is correct and usable in written English.
You can use it when instructing someone to utilize a specific method or approach in a given context.
Example: "After you understand the theory, you should practice the exercises and apply the method to see the results."
Alternatives: "and utilize the technique" or "and implement the approach".
Exact(23)
We integrate this system for about ten crossing times and apply the method of convergence.
In this section we give some numerical examples and apply the method presented in Section 4 for solving them.
We quantitatively characterize the vulnerability type and apply the method on the set of 11,395 CVE vulnerabilities.
Here we extend and apply the method to problems with a solenoidal (i.e., divergence-free) flow field.
We introduce multiple scales and apply the method of homogenization to determine leading order solutions for the seed digestion kernel (SDK).
We introduce two notions of Lipschitz continuity and apply the method of Davis and Simon [J. Funct. Anal.59 (1984), 335-395] to prove our main theorem.
Similar(37)
It contains all the required data to build up the model and apply the methods described in detail in the previous chapters of this handbook.
Such model diseases might be used to develop and apply the methods required to find markers for personalized medicine.
We compare the Type-I erate rate of these methods in a series of simulation studies of a randomized clinical trial, and apply the methods to the ASAP (Addressing the Spectrum of Alcohol Problems) trial.
The best localizations are achieved by selecting and applying the method to the most changed mode.
The HNV farmland indicator is quantified using year 2000 Census data and applying the method presented in the previous chapters.
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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