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The phrase "and then reducing" is correct and usable in written English.
It can be used when describing a process that involves a subsequent action of making something smaller or less in amount, size, or degree.
Example: "First, we will gather all the data, and then reducing the unnecessary information will help us focus on the key points."
Alternatives: "and subsequently minimizing" or "and then decreasing".
Exact(60)
In the proposed approach, the shear strength is calculated first using ACI 318 08 (2008) code formulas using the reduced stirrup area due to corrosion, and then reducing this value with an experimentally correlated reduction factor to account for all applicable corrosion damage factors including non-uniform corrosion.
Aviation is absolutely committed to neutralising and then reducing its climate change impact.
A free press could play a major role in revealing and then reducing corruption within government.
Undertaking audits on an ongoing basis is critical to detecting and then reducing discrimination in customer service.
Some sellers incentivise their agents, offering a higher commission to sell within eight weeks and then reducing the fee as time goes on.
This can potentially be overcome by using it intermittently during training and then reducing your intake in the week leading up to a race.
For example, high-purity silicon can be made at drastically reduced cost by chemically converting ordinary silicon to silane or trichlorosilane and then reducing it back to silicon.
Pure tungsten powder is obtained by first isolating the tungstic oxide and then reducing it, whilst ferro-tungsten is obtained by reducing the mixed oxides.
Both of these routes conventionally begin with calcining the nitrate to UO3 and then reducing the trioxide with hydrogen to uranium dioxide (UO2).
This has the effect of first speeding up the rate of growth of the population and labour force and then reducing it as birth rates fall.
That means eliminating much of the underbrush of credits, loopholes and expenditures and then reducing marginal tax rates.Of course, the devil is in the details.
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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