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The phrase "and roughly" is correct and usable in written English.
It can be used to indicate an approximation or an estimate in a statement.
Example: "The project will take about three months to complete, and roughly the same amount of time for the testing phase."
Alternatives: "and approximately" or "and about".
Exact(59)
Drain the spinach, cool and roughly chop.
Seed and roughly chop the peppers.
Pour in the tomatoes and roughly mash.
Rinse and roughly chop the stalks.
Peel, deseed and roughly chop the tomatoes.
Peel and roughly chop the onion.
Alternatively, trim radishes and roughly chop.
Peel and roughly chop the shallots.
Add to the spinach and roughly chop.
Peel, core and roughly chop the apples.
For the filling, thoroughly clean and roughly chop the escarole.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com