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The phrase "a second round of reduction using" is correct and usable in written English.
It can be used in contexts where you are discussing a process that involves multiple stages of reduction or simplification, particularly in scientific, technical, or analytical writing.
Example: "After the initial analysis, we proceeded with a second round of reduction using advanced statistical methods to refine our results."
Alternatives: "a subsequent phase of reduction employing" or "a follow-up round of reduction utilizing".
Exact(1)
The resulting RNA was then taken through a second round of reduction using the Human/Mouse/Rat Ribo-Zero™ kit.
Similar(59)
A second round of amplification used the first polymerase chain reaction products to specifically detect D pneumosintes.
This month, New Zealand refused to commit to a second round of emissions reductions under the Kyoto Protocol, the 1997 international agreement on reduction of greenhouse gases.
A second round of cDNA synthesis was performed using some or all of the first round amplified RNA as indicated.
A second round of cDNA synthesis was performed using the total amount of the amplified RNA.
A second round of ORF finding was performed by using Glimmer3 [ 38] on all the contigs.
Later in the president's first term, when we should have been debating a second round of job-creating public investment, conservatives used the threat of refusing to raise the debt limit to force Obama to shift to deficit reduction.
The virus rescued in round 1 was used in a second round of transfection/rescue.
For the second round of assembly, the SNPs and indels called in the first round were introduced into the D. melanogaster reference, and this modified reference was then used for a second round of mapping.
Information from the first round of testing was used to guide a second round of compound purchase.
In some cases, one round of RACE-PCR was performed; in others, a second round of RACE-PCR with a second nested gene-specific primer was used.
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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