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The phrase "achieved by using a" is correct and usable in written English.
It can be used when describing a method or process through which a certain result or outcome is obtained.
Example: "The desired results were achieved by using a combination of innovative techniques and thorough research."
Alternatives: "obtained through the use of a" or "realized by employing a".
Exact(60)
PAI of a joint was achieved by using a commercial ultrasound (US) unit without affecting its original imaging functions.
Gene insertion can be achieved by using a bacterium to "ferry" it into the cell or by blasting it in using a gene gun.
Monitor the effect achieved by using a headache calendar.
This is achieved by using a dynamic scheduling technique.
This is achieved by using a reference laser source.
These objectives are achieved by using a low periapsis orbit.
Interestingly, this level of power was achieved by using a scalable system, combing multiple lasers into one high powered beam.
We then began performing assisted ventilation, which was achieved by using a face mask (Fig. 2).
The stability of the magnetic fluids was achieved by using a CTAB/1-butanol surfactant bilayer.
This is achieved by using a combination of class and individual characteristics.
However, the gain is achieved by using a higher feedback channel rate.
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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