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The phrase "and a big increase" is correct and usable in written English.
It can be used when discussing a significant rise or growth in a particular context, such as statistics, sales, or performance metrics.
Example: "The company reported strong sales this quarter, and a big increase in customer satisfaction was also noted."
Alternatives: "and a substantial rise" or "and a significant growth".
Exact(21)
That is largely due to a better than expected comprehensive review settlement and a big increase in lottery money.
It led to a dramatic increase in bus patronage and reliability and a big increase in the numbers walking and cycling.
There were signs within the market, including widespread bearishness and a big increase in volatility, that a turning point was reached when stocks bottomed on Oct. 9.
"The government has been lecturing public servants about how they must accept a pay freeze and a big increase in pension contributions.
His union was granted a share in a rail line and a big increase in government payments to its health-care scheme.
"The evidence is very strong," Mr. Camarota said, "that there is a slowdown of people coming from Mexico and a big increase in people leaving".
Similar(38)
However, TalkSport signed the pair a month later and saw a big increase in ratings.
And even a big increase in supply might not bring down the European gas price much.
That is the highest number ever recorded by the NHS in England, and is a big increase on the 78,487 seen in October 2013.
A recent study from Tutume in Botswana reviewed records and reported a big increase in numbers coming forward for HIV testing once ART became available locally [ 29].
For example, as some studies have shown, such as research involving measurements of arsenic in soil, house dust, and urine, a big increase in external exposure may not necessarily result in a major increase in internal exposure.
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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