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The phrase "associated with a generalized decrease of" is correct and usable in written English.
It can be used in contexts where you are discussing a relationship between a factor and a decline in a particular variable or outcome.
Example: "The study found that increased stress levels are associated with a generalized decrease of cognitive function in older adults."
Alternatives: "linked to a widespread reduction in" or "connected with an overall decline in".
Exact(1)
RYGB is also associated with a generalized decrease of white blood cell and platelet counts accompanied by significant anemia.
Similar(59)
The study suggests that acute removal of hypocretin 1 signalling induces a true hypersomnia associated with generalized decrease of muscle tone that subsequently evolves over time.
Peel et al [ 18] and El Miedany et al [ 19] have shown that spinal OA is associated with a generalized increase in BMD and decreased levels of serum and urinary biochemical markers of bone formation and bone resorption in patients with spine disc degeneration.
In post menopausal women the severity of disc narrowing, but not osteophytes, is associated with a generalized increase in BMD and a decreased rate of bone resorption.
This study showed that in post menopausal women the severity of disc narrowing, but not osteophytes, was associated with a generalized increase in BMD and a decreased rate of bone resorption.
Consequently, high levels of CD mtDNA are associated with a generalized OXPHOS defect.
Generalized disorders of cartilage and bone have been referred to as skeletal dysplasias and are associated with a generalized abnormality in the skeleton.
Glucocorticoid deficiency is associated with a decrease of food intake.
Almog, Y. et al. Prior statin therapy is associated with a decreased rate of severe sepsis.
We find a variant in HERC2 associated with a decreased probability of red hair.
They have high levels of HDL cholesterol, which is associated with a decreased risk of heart disease.
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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