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The phrase "and they involve" is correct and usable in written English.
You can use it to indicate that certain elements or factors are included or engaged in a particular situation or process.
Example: "The project requires several steps, and they involve extensive research and collaboration with various stakeholders."
Alternatives: "and they include" or "and they encompass".
Exact(50)
"The gates are heavy to ship and they involve very little labor cost.
Both gardening and golf strain your back and weather your skin, and they involve the wearing of unflattering clothing.
Your intrepid researcher has looked through the calculations and they involve differentiation and Newton-Rapheson methods of successive approximation.
"These kinds of things intersect with cultural knowledge and they involve women and children, which isn't the case with mining.
But there are some tricks for aspiring Bond girls, and they involve, among other things, waterproof mascara, Vaseline and double-sided tape.
While for many there is a positive outcome, implants are not an easy fix and they involve a massive change in deaf people's lives.
Similar(10)
"Jealousies crept in, and they involved mundane, not religious things," he said.
NYPD's chief of detectives, Robert Boyce, specified slightly more, saying there were seven drug-related murders this year and they involved marijuana dealers being targeted.
His large-scale color pictures from Texas are among the first he's made in the United States, and they involved weeks of patient preparation.
A total of 743 consecutive admissions were included, and they involved 701 different patients.
In 54 % of the cases, the lesions were bilateral, and they involved the branches in 42 % of the cases.
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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