"expanded its influence" is a correct and usable phrase in written English.
It can be used to describe the actions of a person, organization, or country that have increased their impact or reach in a certain area. Here is an example sentence: "Through strategic alliances and successful marketing campaigns, the company expanded its influence to new global markets, becoming a major player in the industry."
But it has expanded its influence and profits by licensing those traits to hundreds of small seed companies, allowing them to incorporate the traits in the seeds they sell.
Furthermore, American Superconductor expanded its influence in the market in 2007 when it acquired Windtec Consulting, an Australian firm that licenses wind turbine system designs, and sells wind turbine electrical systems.
This can suit the elite perfectly well.Consider Russia since the Kremlin elite expanded its influence over the oil sector under Vladimir Putin (who is now prime minister).
Last year this extreme jihadist group, which is commanded by Iraqis and largely manned by foreign fighters, had rapidly expanded its influence in rebel-held areas.
The insurgency appears to have expanded its influence in Badghis and Faryab Provinces in the northwest, where there has been little international troop presence in the past.
Aside from Fallujah, Isis, the premier jihadi movement in the country, has rapidly expanded its influence in all parts of Sunni Iraq in the past three years.
Under Page, Google has not been afraid to be unpopular with its peers if it means expanding its influence with its users.
Its culture has nationalistic elements, and, partly through the vigorous pursuit of economic relationships, it is expanding its influence around the world.
Solution to the Kurdish conflict in Turkey is essential if it wants to expand its influence in Iraq and important if it is to do the same in Syria.
It clearly wants to expand its influence from the Siberian borders all the way down to the sea-lanes running along Vietnam and the Philippines.
