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The phrase "through refinement" is correct and usable in written English.
You can use it when referring to the process by which something changes or improves over time. For example: "This restaurant has perfected its menu through refinement over the past 10 years."
Exact(17)
From its more primitive form, roulette grew through refinement to become so addictive and compelling that by the 19th century it had spread across Europe and the US, engrossing even Fyodor Dostoyevsky whose novella The Gambler reflects his own addiction to the game.
(Woolfe) ★ Talea Ensemble (Friday) This accomplished group specializes in toothy works by important modernist composers, making its performances stick through refinement and utter conviction.
Another group is vigorously digging into the roots of Spanish cuisine for traditions that they can elevate, through refinement and innovations, to three-star status.
Optimal H&E (Hematoxylin and Eosin) staining was achieved through refinement of standard protocols.
Competition works through diversity and selection; collaboration works through refinement and improving.
Efforts were made to improve the deicer salt scaling resistance of the AAC concrete through refinement of the AAC composition.
Similar(43)
The original document went through refinements in the spring and summer and appeared headed to general acceptance.
A number of features have further improved the cylinder condition and extended the time between overhauls through refinements in piston design and piston ring configurations.
The new Focus engine earns its green card through refinements of conventional technologies: redesigned combustion chambers, more advanced electronic controls, closer placement of the catalytic converters to the exhaust manifold and better gas tank evaporative emissions controls.
In the ISECs, estimation of population size has been a major focus, notably through refinements of capture recapture (CR) methods.
The achieved sensitivity and specificity can approach 100% through refinements in the electronic note search strategy and can serve to expedite clinical research and, ultimately improve, patient care.
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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