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The phrase "achieved by the same" is not correct and sounds awkward in written English.
It may be intended to refer to something that has been accomplished by the same means or method previously mentioned, but it lacks clarity.
Example: "The results were impressive, but they were not achieved by the same methods as before."
Alternatives: "accomplished by the same" or "attained through the same".
Exact(27)
They assume that renouncing faith can be achieved by the same means as rejecting a view about, say, the validity of British government policy in Iraq.
The fine positioning is achieved by the same motor with its DC drive mode, which can perform nanometer steps proportional to the input voltages.
But the headline pass rate among all grades from A* to G remained unchanged at 98.1%, thanks to government policy that fixes pass rates to previous results achieved by the same year group.
Furthermore, it allowed us to investigate the effect of olfactory deprivation, achieved by the same means as in previous release experiments, on orientation in free-ranging foraging trips for the first time.
It's a much better outcome than has just been achieved by the same distributor with Jeff Nichols's Midnight Special – a film walking a tricky line between US indie and genre hybrid, with kidnap, chase thriller and sci-fi elements.
Overall, the proportion of top grades awarded may fall slightly, based on statistical analysis of the results achieved by the same group of students at GCSE level, which are used by the exam regulator Ofqual to fix the proportion of grades awarded.
Similar(33)
The issue is made more murky by the fact that some technical changes required for number portability are also necessary for a separate F.C.C. mandate on "number pooling," something wireless carriers are supposed to achieve by the same Nov. 24 deadline.
It is long overdue". "The Color of Mind insists that no educational reform can succeed without teachers and school leaders knowing that black children were never supposed to learn or achieve by the same standards of their white counterparts.
Such high quality of observational studies is achieved by studying the same intervention by the same outcome measures in well-matched patient population without dropouts.
This test is achieved by using the same self-designed circuit with the same parameters.
For example, accounting for uncertainty in the drug uptake rate from the GI tract can be achieved by adding the same system noise term to the Eq. (12) with opposite sign.
More suggestions(16)
achieved by the identical
reached by the same
gained by the same
provided by the same
established by the same
fulfilled by the same
delivered by the same
achieved by the said
achieved by the used
success by the same
outcome by the same
achieved by the booming
achieved by the verbal
achieved by the third
achieved by the statistical
achieved by the counter-matched
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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