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The phrase "achieved by removing" is correct and usable in written English.
It can be used when describing a process or method that results in a particular outcome through the act of taking something away.
Example: "The desired effect was achieved by removing unnecessary elements from the design."
Alternatives: "obtained through elimination" or "realized by taking away".
Exact(60)
The difference between additive and subtractive synthesis is the approach: in additive synthesis colours are built up by combining different intensities of primary-coloured light, and in subtractive synthesis colours are achieved by removing different proportions of primary-coloured light from white light.
This is achieved by removing all cycles from the graph.
The honeycomb-like patterned catalysts were achieved by removing the photoresist using acetone.
The BCR geometry was easily achieved by removing the draft tube of ALR.
Almost 100% disinfection efficiency was achieved by removing heterotrophic and coliform bacteria.
Efficient packet processing is achieved by removing the checksum process and the options from the IP header.
The erasing process can be achieved by removing the applied force to pull the tip up back from the indentation.
The bubble column reactor geometry of similar volume was achieved by removing the draft tube from the airlift reactor.
Efficient entrapment of Pd or Pt nanoparticles is achieved by removing the released alcohol, using rotavapor distillation.
Long-life cycling was achieved by removing dissolved oxygen from the electrolyte, which limits the corrosion of current collectors.
Nicola Sturgeon told the SNP's conference in Perth the reduction of about £70 would be achieved by removing a number of "green" charges.
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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