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The phrase "and a corresponding reduction" is correct and usable in written English.
It can be used when discussing a decrease or diminishment that is related to a previous statement or condition.
Example: "The company implemented cost-cutting measures, resulting in increased efficiency and a corresponding reduction in expenses."
Alternatives: "and a related decrease" or "along with a matching reduction".
Exact(51)
The rise of corporate agriculture has led to an inevitable increase in farm size and a corresponding reduction in farm numbers.
It proposes a gradual rise in corporate-income tax from 20% to 25% and a corresponding reduction in the top rate of personal-income tax from 40% to 35%.
Sharpening of diffraction peaks and a corresponding reduction in intragranular orientation variations signal recovery processes.
Increasing temperatures and increasing stress amplitudes lead to an increase of the plastic strain amplitudes and a corresponding reduction of the number of cycles to failure.
It was hypothesized that a short-duration d-phase would result in congestion of teat-end tissue and a corresponding reduction in the cross-sectional area of the teat canal.
While seizure activity in animals with wild-type implants remained unaltered, 1 week after grafting all rats with adenosine-releasing implants (n = 25) displayed complete protection from convulsive seizures and a corresponding reduction of afterdischarges in EEG-recordings.
Similar(9)
Added calcium caused an increase in the total calcium content within the abscission zone and produced a corresponding reduction (20%) in pedicel explant abscission.
At a platinum electrode, sesamol undergoes electrochemical oxidation at ca. 0.70 vs. (Fc/Fc+)/V and displays a corresponding reduction process at ca. 0.35 vs. (Fc/Fc+)/V when the scan direction is reversed after first oxidizing the compound.
If the changes introduced in albumin increase the protein stability (rigidity of the molecule), a reduction of flexibility and then a corresponding reduction in the RS component can be expected, as was observed here (Figure 9).
It is well established that F6P-mediated regulation of GKRP leads to enhanced GCK inhibition, and hence a corresponding reduction in observed enzyme activity (7, 9, 18).
Further investigation into the effects of statins is required in RA to clarify whether they are clinically effective anti-inflammatory treatments in human trials and whether a corresponding reduction in aggrecanase activity in RA is apparent.
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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