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The phrase "a more balanced distribution" is correct and usable in written English.
It can be used when discussing the equitable allocation of resources, responsibilities, or outcomes among different parties or groups.
Example: "The new policy aims to create a more balanced distribution of funding across all departments."
Alternatives: "a fairer allocation" or "a more equitable distribution".
Exact(35)
But any hopes that the new constitution would lead to a more balanced distribution of powers have been dashed.
"Right now, the commission is discussing with the member states on how to ensure a more balanced distribution of resettled refugees among all member states.
Unlike Mr Friedberg, he argues that "paradoxical as it might seem, the Asia/Pacific region's stability could well be put more at risk by America's continuing assertion of absolute primacy or dominance than by a more balanced distribution of conventional military power".
Exploring CoI presences in such an expanded FC might provide a more balanced distribution of presences.
The split and merge process achieves a more balanced distribution of population and employment across zones than the quadtree algorithm.
The auditors call for a more balanced distribution of farm aid, either by capping higher individual payments or by assessing the specific circumstances of the farms.
Similar(23)
An alternative τ-group composition, with a more balanced distributions of τ values (first group containing genes with τ∈[0, 0.2); second group with τ∈[0.2, 0.6); and third group with τ∈[0.6, 1]) leads to unbalanced sizes of three groups.
And, if its benefits are expanded and the wealthy required to pay their fair share, it can play an important role in establishing a fairer, more balanced distribution of the nation's income and wealth.
It is probably better to choose the permutation that works best for those with a distorted color choice and thus Permutation 4 with its wider, more balanced distribution of positive, neutral and negative colors and which works well both in anxious and depressed patients would appear to be the best choice.
a good balance between family and professional life? - a clear identification of service objectives to which HRH policies are expected to contribute: more balanced distribution of services, level of quality sought, continuity of services, efficiency.
Delhi and Bogotá have higher and more concentrated densities in the city core and outskirts while Tokyo and London present lower and more balanced distribution of densities.
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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