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The phrase "a faster decline in" is correct and usable in written English.
You can use it when discussing a rate of decrease in a particular context, such as economics, health, or environmental studies.
Example: "The study revealed a faster decline in the population of certain species due to habitat loss."
Alternatives: "a more rapid decrease in" or "an accelerated decline in".
Exact(60)
A faster decline in especially memory function was found for diabetes mellitus, stroke, cancer, and peripheral artherosclerosis.
Background:Frequent exacerbations are associated with a faster decline in FEV1, impaired health status, and worse survival.
There is no evidence on whether this inflammation changes over time, or if it is associated with a faster decline in FEV1.
After the expansions, however, I observe a faster decline in labor force participation rate in the poorest counties of 5 states, with the share of residents in the labor force of the poorest counties dropping by roughly 1 percentage point more than those in other counties.
DM was associated with a faster decline in cognitive function among older adults.
High serum calcium levels are associated with a faster decline in cognitive function [10].
Prospective population-based studies in our review consistently reported that baseline DM was associated with a faster decline in measures of executive function [6], [31], [32], [34].
In life history terms, the trade-off for those born to dams undernourished during pregnancy may be an earlier maturation but a faster decline in ovarian function with aging, associated with significantly reduced adult progesterone levels.
We speculated that these effects may be interpreted as a life history trade-off for earlier reproductive maturation but accompanied by a faster decline in ovarian function with aging.
Patients with DM were reported to have a faster decline in global cognitive function, as reflected by the scores of MMSE or TICS, after 2 7 years of follow-up [33], [35], [36].
HCV coinfection was also correlated with a faster decline in CD4 cells (p <0.001).
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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