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Discover LudwigThe phrase "are productively" is correct and usable in written English.
It can be used to describe a state of being effective or efficient in a particular context, often in relation to work or activities.
Example: "The team members are productively collaborating on the project, ensuring that all tasks are completed on time."
Alternatives: "are effectively" or "are efficiently".
Dictionary
are productively
adverb
In a productive manner.
synonyms
Exact(20)
His craftsmanship is admirable, and his moods are productively ambiguous; the plays are both an expression of traditional values and an uneasy rebellion against them.
When selected by an algorithm, they rise from the desk where they are productively administrating and hit the disabled-access restroom, inside of which is a secret panel where they disrobe and present their nether regions.
If ecological models are productively everlasting, urban models can logically follow.
People who must rely on their children in their old age have a focused incentive to assure that those children are productively employed.
Their own population is divided into two groups, a majority who are productively capable and a minority who suffer disabilities that make them unable to engage in production (here we follow Cohen 1995: chapter 4).
She has 200 million people in coastal areas who are productively employed, but a billion in the hinterlands who would like to be, and 100 million more squatting in coastal cities looking for work.
Similar(40)
Every five minutes is productively accounted for.
You might ensure that existing migrants were productively and fairly integrated.
And they assure that art in its many forms is productively refreshed and promoted.
Unfortunately, almost no problem can be productively conceived in this way.
His industrious second wife, Anna Magdalena, was productively occupied at home as a copyist, at church as a vocalist.
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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