The phrase 'have impacts on' is correct and can be used in written English. You can use this phrase to describe negative or positive changes on a particular situation or event. For example, "The rise in CO2 emissions has had a significant impact on global temperatures."
"I think this paper does a good job of showing that [plasma bubbles] can have impacts on operations".
Businesses have impacts on the environment and society.
These, she says, have impacts on all of us.
This move could have impacts on both ends of the fabric life chain.
But the politics will have impacts on where breakthroughs are made.
While the outcome and impact of this referendum remains uncertain, this could have impacts on our operational and financial results.
"Climate change overseas could have impacts on the UK, greater than that from climate change at home.
Forest and landscape management measures have impacts on the amenity value of forests.
Eucalyptus plantations may have impacts on vertebrate communities in Europe; however, these have been seldom assessed.
His research looks at how small particles in the atmosphere have impacts on human health and climate.
Geological characteristics can have impacts on societal development by, e.g., geotechnical issues and radiological hazard levels.
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MA of Applied Linguistic, Maquarie University, Australia