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The phrase "a subsequent reduction of" is correct and usable in written English.
It can be used when discussing a decrease or diminishment that follows a previous event or condition.
Example: "The study indicated a subsequent reduction of carbon emissions after the new policy was implemented."
Alternatives: "a following decrease in" or "a later reduction of".
Exact(28)
This was followed by a subsequent reduction of the particle sizes at later crank angles due to particle oxidation.
A subsequent reduction of the G6PD activity in Fl-intoxicated rats showed impaired generation of NADPH which is required for the reduction of GSSG to GSH (Thangapandiyan & Miltonprabu, 2013).
Moreover, by providing confinement to the pillars, thick coal seams have been successfully mined with a subsequent reduction of pillar height to width ratio and improved load bearing capacity of the pillars.
According to some authors, women with premenstrual syndrome (PMS) before menopause have an increased prevalence of migraine in late menopausal transition, and a subsequent reduction of the attacks in postmenopause[2].
Feature extraction is defined by a subsequent reduction of the selected voxels using principal component analysis (PCA) or partial least squares (PLS) techniques while classification is performed by a support vector machine (SVM).
Apparently a weakened chemical bonding of cobalt as well as chromium immobilization caused by the nitrogen insertion and a subsequent reduction of passivating oxide layer causes the selective high Co ion release for samples with high process temperatures.
Similar(32)
Generally, statins are linked to the inhibition of HMG-CoA reductase and a subsequent reduction in synthesis of isoprenoid intermediates by which a number of critical intracellular signalling processes are prevented leading to beneficial effect on subclinical inflammation and endothelial function.
Identification and analysis of defects and a subsequent reduction or elimination of such defects can lead to significant improvements in manufacturing processes and result in higher quality packages.
Hence, it is possible that metoprolol inhibits TNF α production through the inhibition of NF- κB, with a subsequent reduction in expression of adhesion molecules.
There are two main explanations: firstly, the rate of malignant nodes is significantly lower at the restaging compared with the staging (36% versus 97%) with a subsequent reduction in terms of false negative findings; secondly, most of the smaller nodes tend to disappear after chemoradiation therapy.
Our results demonstrated that all of the statins examined seem to exert their effects in a similar manner through the inhibition of a geranylgeranyl pyrophosphate intermediate, resulting in a loss of membrane-associated geranylgeranylated proteins and a subsequent reduction in viability of synovial fibroblasts.
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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