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The phrase "a corresponding decline" is correct and usable in written English.
It can be used when discussing a decrease that is related to or follows another change or event.
Example: "The company reported a significant increase in sales, but this was followed by a corresponding decline in customer satisfaction."
Alternatives: "an associated decrease" or "a related drop".
Exact(60)
At Oxford, applications from Indian and Chinese UK students actually fell, with a corresponding decline in the numbers gaining entry.
With Islamic power steadily increasing in the later 10th century, the Christians suffered a corresponding decline.
He cited national statistics suggesting that women now make up 57percentt of college populations, with a corresponding decline in male students to about 43percentt.
The reaction progression with time involves increasing amounts of the carbonaceous products, with a corresponding decline in access to the active sites by pore blockage and, as a consequence, with a corresponding decline in the catalytic activity.
Mr. Hynes and Mr. Vallone noted that reported auto theft, a component of insurers' costs, had dropped sharply in New York City without a corresponding decline in rates.
Another is the surging influence of poll takers and marketing experts, and a corresponding decline in the power of traditional brokers like labor and peasant bosses.
"In the past, if you showed me a stock chart with a big drop, there would be a corresponding decline in the company's business or market," said Lauren Levitan, an online retail analyst with Robertson Stephens.
Flynn emphasises that a rise in the potency of genes isn't matched by a corresponding decline in the potency of environment: "The potency of one is added to the potency of the other".
And the dynamic process of cancer development appears to be the reason that screening for breast cancer or prostate cancer finds huge numbers of early cancers without a corresponding decline in late stage cancers.
The model predicts a steady state landscape containing a higher abundance of scrubland and woodland, and a corresponding decline in pastureland and cropland.
However, after variable period of treatment, many AIDS patients on HAART show elevated PCR viral load without a corresponding decline in CD4+ T-cells.
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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