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"relatively evenly" is correct and usable in written English.
You can use "relatively evenly" to describe when something is quite evenly distributed, but not perfectly so. For example, "The participants were relatively evenly split between men and women."
Exact(60)
The Ohio republican electorate is relatively evenly split ideologically.
Aside from favored Mexico, the rest of the teams are relatively evenly matched.
Knead the sultanas into the dough, ensuring they are relatively evenly distributed.
They suggest a community of Syrians, which though fragmented are distributed relatively evenly throughout the region.
Prince Edward Island's population is relatively evenly divided between rural and urban communities.
The show has seven sculptures, distributed relatively evenly along the C-shaped length of track.
The average annual precipitation (all falling as rain) is 47 inches (1,200 mm), spread relatively evenly throughout the year.
Often, those who say their economic condition has remained static divide their support between the two major candidates relatively evenly.
The day started relatively evenly, with Australia on 4/112, but no Australian batsman aside from Steve Smith were able to take advantage of the benign conditions.
Economists seem relatively evenly divided about whether the Fed will choose to cut rates on Tuesday by half a point or a quarter of a point.
Consensus remains elusive, except on one point: with current knowledge, we still can't pick a winner (from a relatively evenly matched field) based on lab tests.
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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