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Discover LudwigThe phrase "by a decline" is grammatically correct and can be used in written English.
It is typically used to indicate that something is caused or affected by a decrease or reduction. Example: The company's profits were impacted by a decline in consumer spending.
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Sales fell 4.7percentto to $3.86 billion, led by a decline in auto-related revenue.
Sales rose 11percenttoto $820 million, helped by a decline in the dollar.
Then there is the insipid global growth forecasts brought on by a decline in global trade.
These gains were partly offset by a decline in the promotional toy business.
German industrial production declined in January, led by a decline in construction.
The drop in coverage parallels — and may be explained by — a decline in public interest.
An increase this month could be followed by a decline the next.
Family finances were also helped by a decline in the cost of some essential items.
Sales rose 10percentto to $23 billion, bolstered by a decline in the dollar.
Sprint, which was hurt by a decline in long-distance sales, exceeded analysts' estimates.
It has been accompanied by a decline of what I call inclusion.
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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