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The phrase "achieved by adding" is correct and usable in written English.
It can be used when explaining how a certain result or outcome is obtained through the process of addition.
Example: "The final score was achieved by adding the points from each round of the game."
Alternatives: "obtained through addition" or "realized by summing".
Exact(60)
Improved hardenability is achieved by adding such elements as manganese, molybdenum, chromium, nickel, and boron.
This is easily achieved by adding a select filter onto our jq input: This returned quite a lot of results.
Reasonable fairness can be achieved by adding caveats that acknowledge the Bush camp's view of its narrow legal definition.
This can be achieved by adding some copolymers as compatibilizers.
Enhancement in ductility was achieved by adding Ti and Nb.
A great improvement in dough stability during fermentation was achieved by adding hydrocolloids.
The lighter pink shades were achieved by adding more lead white and/or zinc white.
Colourless glass could also be achieved by adding a decolourant [28: p. 764, 66: p. 97].
Chemical precipitation was achieved by adding NH4OH solution (29.6%) at 25°C under vigorous stirring.
Total fatty acid content was achieved by adding the individual fatty acid concentration together.
This was achieved by adding each word into "history" one by one, under "builder" option.
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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