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The phrase "and applying the method" is correct and usable in written English.
You can use it when discussing the implementation or execution of a specific method in a process or study.
Example: "The researchers focused on developing new techniques and applying the method to improve the accuracy of their results."
Alternatives: "and utilizing the method" or "and implementing the method".
Exact(13)
The best localizations are achieved by selecting and applying the method to the most changed mode.
The pressure induced in the substrate fluid is calculated by assuming potential flow and applying the method of images.
This objective was achieved by the minimization of the least square criterion and applying the method proposed by Box and Lucas.
The HNV farmland indicator is quantified using year 2000 Census data and applying the method presented in the previous chapters.
Even when accounting for spatial auto-correlation and applying the method proposed by [21] the relation between deposition and bioaccumulation remained statistically significant.
By constructing suitable function spaces and applying the method of Galerkin's approximation as well as weak convergence techniques, the authors prove the existence of local solutions.
Similar(47)
After the string of bad decisions made by American leaders in the early years of the occupation, officials in Baghdad have made various technical corrections: training the new Iraqi Army in a more professional way, funding reconstruction projects that show faster results, and applying the methods of counter-insurgency to the war.
This is achieved by diagnosing the state of preservation and by planning and applying the methods of preventive and interventive conservation.
Several recent reports develop consistent methods for comparing outcomes and applying the methods to multiple Internet-based CME activities.
We quantitatively characterize the vulnerability type and apply the method on the set of 11,395 CVE vulnerabilities.
While AHP has been thoroughly researched and applied, the method still shows limitations in terms of addressing user profile disparities.
More suggestions(1)
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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