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The phrase "a relatively increased" is not correct in standard written English.
It is typically used to describe a situation where something has increased in comparison to something else, but the phrasing is awkward.
Example: "The study showed a relatively increased level of engagement among participants compared to last year."
Alternatives: "a comparatively higher" or "an increased level relative to".
Exact(26)
As a relatively increased volume may also account for increased activity observed in functional MRI studies, our data is in accord with prior findings of higher amygdala activity in healthy carriers of the S-allele [ 5, 6].
Likewise, the images enhanced by CLAHE had a relatively increased brightness and unbalanced contrast.
Twenty-nine weren were assigned to the cereal (C) group, which was characterized by a relatively increased consumption of cereals.
T cells are also found in the lung parenchyma and airways and studies have reported a relatively increased proportion of CD8+ cells to CD4+ cells.
The findings indicate a relatively increased pro-inflammatory response and decreased anti-inflammatory response and provide the first demonstration of an altered cytokine balance in GAD.
Twenty-eight women were assigned to the vegetable (V) group; this group was characterized by a relatively increased consumption of vegetables.
Similar(34)
A relatively increasing number of AIS patients were noticed to wear a new kind of elastic orthotic belt for the treatments of scoliosis without doctors' instructions.
After 15 years in 2000, the SAVI distribution shows low density throughout, while it shows a relatively increase in the southern part of the study area.
The rate of cell proliferation also was relatively increased with an increase in the amount of polyphosphoesters in the hydrogel.
Assets in the Russell 2000 exchange-traded fund increased by more than $800 million–a relatively large increase but not among the five biggest quarterly increases since 2003.
Therefore, corresponding to a fractional exponential model with an initial and relatively increasing reliability in the set interval above and subsequently it is a declining reliability.
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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