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The phrase "a small extent in" is correct and usable in written English.
It can be used when discussing the degree or level of something in a specific context.
Example: "The changes in policy have had a small extent in improving employee satisfaction."
Alternatives: "a limited degree in" or "a minor impact on".
Exact(33)
Naturally a perennial, it is grown to a small extent in temperate climates as an annual.
Although such substances as ordinary salt and hydrogen chloride are strong electrolytes i.e., they dissociate completely in an ionizing solvent there are many substances, called weak electrolytes, that dissociate to only a small extent in ionizing solvents.
Rodent apoA-IV is expressed predominantly in small intestine and also expressed to a small extent in liver and hypothalamus.
On the other hand, bidentate coordination of the anion, taking place to a small extent in addition to the outer-sphere association, is inferred for Co(CF3COO 2.
Among those, the limestone and Minette complex (dom1-4 and lo6-7+dou) and the Middle Liassic Sandstone (lm3) are the shallowest and only cover a small extent in the southwestern part of Luxembourg.
Clearly, even if during the lifetime there is a downward adjustment in the labor supply, overall, the risks suggested by Boersch-Supan and Ludwig (2010) materialize only to a small extent in our model labor supply increases substantially and for nearly all types of subcohorts (the only exception are agents with high impatience and high preference for leisure, especially in the DC system).
Similar(27)
During the 19th century, governments based on traditional liberal principles emerged in England and the United States and to a smaller extent in continental Europe.
In Europe, and to a smaller extent in the United States, low-income workers do fall within the tax net, paying amounts that are small in absolute terms but large in relation to their income, in or out of work.
Isoprene, for example, forms four, having the following designations: Under free-radical conditions the trans-1,4 polymer predominates, although any of the other structural variations may be present to a smaller extent in the polymer chains.
This shape can also be observed to a smaller extent in the medium-sensitivity curve.
R1 reductions and R2* increases were observed to a smaller extent in overlapping occipito-parietal white matter regions.
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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