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The phrase "achieve by using the" is correct and usable in written English.
It can be used when discussing methods or tools that lead to a specific outcome or goal.
Example: "You can achieve your fitness goals by using the right training program and nutrition plan."
Alternatives: "attain through the use of" or "reach by employing the".
Exact(4)
This result is hard to achieve by using the GAC model.
Encouraged by the achieved misfit reduction of 10%% that we achieve by using the approximation of Eq. 2, we plan to implement the correct approach used by Laundal et al.
For instance, when observing the region in Figure 5(a) (right), we can combine a few strong low-frequency components with a few high-frequency components, as shown in Figure 6 (upper row, left), which could be difficult to achieve by using the threshold-based approach.
"Mr. Boseman exemplifies the monumental heights and levels Howard graduates can achieve by using the skills and knowledge they acquired at the university".
Similar(56)
This is generally achieved by using the methods of ion-exchange chromatography.
For real numbers this is achieved by using the absolute value |x|.
This will be achieved by using the country's vast tourism revenues to establish "a sovereign wealth fund" to relocate its people.
D. M. K.: Since the total square footage was limited by the city, a lot of the feeling of spaciousness was achieved by using the outdoor space, using the terraces like rooms.
This feature is achieved by using the skywave propagation.
This can be achieved by using the VALUE = condition type.
This can be achieved by using the VisualStateManager class.
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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