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The phrase "associated with a notable decrease in" is correct and usable in written English.
It can be used in contexts where you want to indicate a relationship between two variables, particularly in research or analytical writing.
Example: "The new policy was associated with a notable decrease in employee turnover rates."
Alternatives: "linked to a significant reduction in" or "correlated with a marked decline in".
Exact(1)
Consequently, the detrimental effects of GCs on bone formation and strength are associated with a notable decrease in circulating osteocalcin in humans (O'Brien et al. 2004) or in DEX-treated veal calves (Cacciatore et al. 2009).
Similar(59)
This, combined with restricted flexibility, leads to a notable decrease in thermal stability for the mutants.
Muscle invasive disease was present in all WT animals and was associated with a notable increase in stromal angiogenesis.
NREM sleep is usually associated with a small decrease in Tb (~1 °C) and wakefulness is associated with an increase.
More specifically, duloxetine was associated with a significant decrease in urinary excretion of MHPG.
The NE reuptake inhibitor was associated with a significant decrease in whole body NE turnover, as suggested by the decrease in the sum of (NE+NM+VMA+MHPG).
Duloxetine 120 mg/day (n=6) was associated with a significant decrease in mean blood 5-HT (−0.53±0.21 nmol/ml; p=0.02).
A similar increase in the number of insurers was associated with a $421 decrease in premiums.
Childhood anaemia is associated with a decrease in score of one standard deviation in cognitive tests.
Nevertheless, although further studies on PBMCs subsets are logically needed, it is notable that presented changes are associated with a decrease in disease activity assessed by the occurrence of relapses during pregnancy.
Increase in exercise was not significantly associated with a decrease in sleep disturbance.
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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