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The phrase "a slower decrease of" is correct and usable in written English.
It can be used when discussing a reduction in quantity or intensity that is happening at a more gradual pace compared to another situation or time frame.
Example: "The new policy has resulted in a slower decrease of employee turnover rates compared to last year."
Alternatives: "a more gradual decline in" or "a less rapid reduction of".
Exact(9)
Figure 3 thus suggests an initially higher risk, followed at first by a sharp and later by a slower decrease of risk.
However, Dirkzwager et al. found a slower decrease of sick-leave (6 months) after an explosion in the Netherlands in 2000 [1].
Patients with [P(cv-a CO2] cv-a CO2]an 6 mmhigher a lower cardiac index, a larger clearance of lacthan, and a slower decrease of SOFA score in the first 24 h than patients with a [P(cv-a)CO2] lower than 6 mmHg [15].
Consequently, this fraction of the photosynthetic apparatus works against the larger combined cytochrome c2 pool of the photosynthetic and respiratory pathways, leading to a slower decrease of the cytochrome c oxidation.
Remarkably, there is a slower decrease of T cells compared with age-related control individuals [ 43].
Production of Fdh in B. subtilis AFY led to a slower decrease of both NADH and NAD+ pools than was observed for the parental strain.
Similar(51)
There has been a slow decrease of the background rate since August 1999, see Section 2.2 below.
However, a slow decrease of methane conversion and syngas yield caused by carbon deposition was observed.
We observed a slow decrease of the impedance in all the electrodes, except in the wire electrode.
In this case, we choose in addition a relatively small value of parameter γ to impose a slow decrease of the global variable σ.
Alternatively, results due to allelopathy show a slow decrease of yield or even increase in yield as density increases, until density reaches a point where resource competition among neighbouring target plant becomes the dominating factor.
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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