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The phrase "a general decrease in" is correct and usable in written English.
It can be used when discussing a broad or overall reduction in a particular quantity or quality.
Example: "The report indicates a general decrease in customer satisfaction over the past year."
Alternatives: "an overall decline in" or "a widespread reduction in".
Exact(60)
National statistics show a general decrease in knife killings in the five-year period from January 2003 to December 2007.
The chief executive, Peter Davis, said that a general decrease in consumer spending also contributed to the slowdown.
The results showed a general decrease in risk scores during the Special Period.
The addition of increasing amounts of the tin determined a general decrease in the coking formation.
Results indicate a general decrease in streamflow across the Yellow River basin.
Although there has been a general decrease in the number of inpatients, this is not the case for black and mixed race people.
Radio 1 executives today blamed the downturn on interest in the World Cup and a general decrease in audiences across most radio stations.
This relationship remained as the peak flow arrived, although it coincided with a general decrease in the 234U/238U ratios.
Visual inspection suggests a general decrease in σr(t|fc) over time, marked by sudden increases during times of political conflict.
Other effects included a slight reduction in shoots' biomass (13%) and a general decrease in P tissue content.
Results show a general decrease in the average rates of shoreline change throughout the entire study period.
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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