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"by a decrease" is correct and usable in written English.
It is used to indicate that something has been reduced or decreased in some way. Example: The company's profits have been affected by a decrease in sales.
Exact(60)
This was accompanied by a decrease in the cytosolic levels of TFEB.
Expression of rab9 S21N was accompanied by a decrease in the efficiency of lysosomal enzyme sorting.
The second is characterized by a decrease in impulse control, which can lead to aggressive behavior and foster substance abuse.
We found that this interaction showed a peak at 1 h of serum starvation, followed by a decrease (Fig. 5a).
The increased Tr amplitudes could be explained by a decrease in pasture quality during the dry season.
The pattern of tooth count increase followed by a decrease in D. horneri may result from individual variation.
The ONS report says the decline was driven by a decrease in migration from the A8 eastern European countries.
As might be expected "the introduction of the new incentives was followed by a decrease in the number of ties".
The effectiveness was apparent not only by a decrease in tumor size but also by an inhibition of lung metastases.
Labor costs have increased, but that expense has been offset by a decrease in the cost of diesel.
These changes were accompanied by a decrease in the baseline firing rate of dopaminergic neurones.
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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