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The phrase "achieved by taking" is correct and usable in written English.
It can be used to describe a result or outcome that is obtained through a specific action or process.
Example: "The desired results were achieved by taking a systematic approach to problem-solving."
Alternatives: "obtained through" or "accomplished by means of".
Exact(60)
(It's the fifth level of ascent for a thetan, achieved by taking expensive courses).
The effect was achieved by taking off the cloisons before each firing, the process being repeated at least three times.
In primitive lunar calendars, intercalation was often achieved by taking alternately months of 29 and 30 days.
I suspect the outcome will now be best achieved by taking the failed banks into direct public ownership for a period.
Literary depth is too often equated with a sort of journalistic idea of "seriousness," as if depth were achieved by taking on "issues" like hypocritical attitudes toward female adulterers.
Again, this can be achieved by taking.
This has been achieved by taking on greater leverage".
A decisive further step in developing the approach has been achieved by taking dissipation into account.
The performance is achieved by taking advantage of SS watermarking technique.
This is achieved by taking into account the available bandwidth and device features.
This was achieved by taking advantage of employing the node dimension in the power management method.
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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