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The phrase "a tendency to decline" is correct and usable in written English.
You can use this phrase to describe a decrease in something over time. For example, "The population of the species had a tendency to decline as their natural habitat decreased."
Exact(18)
H/C ratio showed a tendency to decline with the increase of F/A ratio.
The dancers' exchanges, impelled as they are by a restless energy, are more engaging than Elena Kats-Chernin's specially composed score, which has a tendency to decline into noodling, cocktail hour inconsequentiality.
It was evident that SOD and CAT activities had a tendency to decline after spawning.
Ca2+ currents have a tendency to decline with time starting with patch excision ("rundown") [23].
Inter-trial coherence of Ta showed no evidence of increase with age at low frequencies, instead showing a tendency to decline at electrode T8.
Additionally, to assess whether or not the rate of discovery of a particular type of fauna shows a tendency to decline, thus indicating that we are approaching its full description, we established the number of new species described per year and plotted accumulation curves for fishes, mollusks, and echinoderms.
Similar(42)
The association with a tendency to declining airway hyperresponsiveness suggests a functional correlate of the decreased AwCT (see the Supporting Information File for further discussion).
The linear expression showed that log (IFN-α) had a slight tendency to decline (3% over 10 years).
Longitudinal studies measuring immunoglobulin (Ig) G to BKV show stable levels throughout life with a slight tendency to decline after age 40 50 years, while JCV seropositivity tends to increase slowly from childhood into late adulthood (13, 14, 17, 18 ).
As shown in table 1A, the results of the linear expression fitting showed that IFN production in LT healthy individuals showed a slight but statistically significant, tendency to decline (p=0.045, table 1).
The post-test effect size was 0.41, with no tendency to decline in the seven studies that had a follow-up at 12 months.
More suggestions(19)
a tendency to decrease
a tendency to declining
a tendency to decreased
a tendency to decreases
a tendency to reduction
a tendency to revise
a tendency to balloon
a tendency to ignore
a tendency to want
a choice to decline
a tendency to follow
a tendency to spread
a rule to decline
a tendency to babble
a tendency to gamble
a tendency to spray
a tendency to wear
a tendency to let
a tendency to scowl
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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