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The phrase "associated with a decrease" is correct and usable in written English.
It can be used in contexts where you want to indicate a relationship or correlation between something and a reduction in quantity, quality, or frequency.
Example: "The study found that increased screen time is associated with a decrease in sleep quality among teenagers."
Alternatives: "linked to a reduction" or "connected to a decline".
Exact(60)
(h) GO analysis for genes (n=725) associated with a decrease in interaction with HS s).
Glucocorticoid deficiency is associated with a decrease of food intake.
The training was actually associated with a decrease in accidents.
This was associated with a decrease in osteoclast number.
Earlier wake and bed times were associated with a decrease in cognition (3MS; p <.05).
But over time, an increase in the use of antidepressants was associated with a decrease in suicides.
Perez, V. P. et al. Iron leads to memory impairment that is associated with a decrease in acetylcholinesterase pathways.
This was further associated with a decrease in the expression of the ATP-binding cassette transporter ABCG2.
First sex was associated with a decrease in self-esteem, but only among girls who were younger than the average age and not in a romantic relationship.
The indoor biophilic environment was associated with a decrease in participants' blood pressure.
Conclusions: Intraoperative magnesium supplementation is associated with a decrease in POAT after off-pump CABG surgery.
More suggestions(16)
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associated with a diminished
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associated with a lessening
associated with a reduced
associated with a performance
associated with a gift
associated with a rapist
associated with a fever
associated with a deluge
associated with a command
associated with a property
associated with a failure
associated with a number
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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