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"conversely increases" is correct and can be used in written English.
It is typically used to show a contrast or opposite relationship between two things. For example: "Regular exercise decreases the risk of heart disease, while a sedentary lifestyle conversely increases it." In this sentence, "conversely increases" is used to show that the sedentary lifestyle has the opposite effect of regular exercise on the risk of heart disease.
Exact(23)
Conversely, increases in property prices should have a negative effect on fertility rates for tenants, as the prospect of being able to buy a house recedes.
Conversely, increases in the personal tax allowance mean that for single people without children, the earnings required to meet a minimum standard of living are down slightly from a year earlier.
The ductility in general increases with the volume fraction of martensite at constant martensitic carbon content, and conversely increases with the martensitic carbon content for a fixed volume fraction of martensite.
Vanishing β2-stimulation following cessation of ritodrine conversely increases efflux of potassium from the cells to increase plasma potassium levels.
Conversely, increases in the basal GRK2/3 activity result in a reduction in the interaction between the D3R and filamin but a relative increase in the agonist-mediated interaction between beta-arrestin2 and the D3R.
Conversely, increases in the number of kei and hybrid cars owned contributed to an increase in fuel consumption associated with the use of kei and hybrid cars.
Similar(37)
Conversely, increased rates of root nodulation were found.
Conversely, increasing Ca2+ influx or increasing stimulation frequency accelerates this transition.
Conversely, increased daylight in classrooms improves students' math test results by as much as 15percentt.
Conversely, increasing the EW ratio remarkably enhanced elasticity of the composite films.
The ρa value conversely increased on annealing at higher temperatures; however, the dye exhaustion continuously increased.
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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