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The phrase "a study on the impact" is correct and usable in written English.
You can use it when referring to research or analysis that examines the effects or consequences of a particular subject or phenomenon.
Example: "The researchers conducted a study on the impact of climate change on local ecosystems."
Alternatives: "an analysis of the effects" or "a research project regarding the influence".
Exact(54)
In this regard, this paper presents a study on the impact dynamics of plates made of one SCC and three fibre-reinforced SCC (FR-SCC) mixes with different fibre content using a drop-weight testing apparatus.
The law would last one year, during which the TLC would complete a study on the impact of for-hire vehicle services on the city.
The task force will be led by Jared Bernstein, a prominent liberal economist who has been writing a study on the impact of Mr. Obama's stimulus plan.
The House of Representatives passed a bill in June that would require the environmental agency to consider a study on the impact of dredging, now under way at the National Academy of Sciences, before authorizing any new dredging.
The task force, with Mr. Biden as chairman, will have as its executive director Jared Bernstein, a prominent liberal economist who has been writing a study on the impact of Mr. Obama's stimulus plan.
While Mr. Gore never had an economics adviser, Mr. Biden has hired Jared Bernstein, a prominent liberal economist who was assigned to help write a study on the impact of Mr. Obama's stimulus plan.
Similar(5)
The NIH grant is funding a study on the impacts of smartphone technology in eating disorder treatment.
At least she was until the penultimate episode, where she ditched Tony after reading a study on the negative impact of therapy on the sociopath.
The scale is a revised version of a measure previously used in a study on the psychological impact of BRCA1 testing (Lerman et al, 1996).
A study on the technology impacts of ITER was conducted by The Impact Group for Iter Canada, the nonprofit company committed to locating the ITER project in Canada.
Earlier this year, the New York State Association for Affordable Housing (NYSAFAH) released a study on measuring the impact of affordable housing in New York State.
More suggestions(17)
a study on the stability
a researcher on the impact
a study on the sensitivity
a debate on the impact
a study on the quality
a light on the impact
a passage on the impact
a spotlight on the impact
a study on the effectiveness
a study on the system
a story on the impact
a statement on the impact
a briefing on the impact
a study on the illusion
a chart on the impact
a study on the ground
a conversation on the impact
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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