"has been active from" is correct and usable in written English.
You can use it to describe a period of time when a certain activity was ongoing. For example, "The charity has been active from 1990 to the present day."
Bramante appears to have been active from the first in Rome on a variety of projects, such as a painting (now lost) at San Giovanni in Laterano celebrating the Holy Year 1500.
At the Sanderson Tannery site, known to have been active from 1792 to 1829, the students uncovered a trove of colonial artifacts and also a few Native American relics: among them, ceramic sherds (pearlware, stoneware, yelloware, and others), nails, glass bottles, bones, bricks, keys, and tools.
The AC plant in Casale Monferrato had been active from 1907 to 1985, producing plane and corrugated sheets, pipes and pressure pipes, and special AC products.
Adebayor has been active away from the game, recently giving a house he owns in Ghana to orphans fleeing conflicts in west Africa.
The volunteer corps of ministers has been active in disasters, from earthquakes in Los Angeles to the bombings in Oklahoma City and Atlanta, since 1988.
Mr. Greco, who wrote a history of Jackson Heights for schoolchildren and lives in its historic district, has been active in various causes, from neighborhood beautification and landmark efforts to expanding schools.
Sonnleitner is also engaged on a European level and has been active in the European Farmers Association COPAA from 1995.
For all of human memory, it has been active on and off, and from time to time, it changes form.
Greece has been active in evacuating foreign nationals from Libya, transporting hundreds of Filipinos and Europeans, and more than 10,000 Chinese workers to Crete for flights home.
There has been active research on t-designs constructed from codewords in codes over Z4.
