The phrase "influenced the decision" is correct and can be used in written English.
You could use it in a sentence, such as: "John's opinion influenced the decision to go on a camping trip."
He said she "ultimately influenced" the decision by expressing "concerns" to White House officials.
Even so, the bank passed, which influenced the decision to resume the share sale.
Andrew Friedman of the Rays told reporters that business matters influenced the decision "very little".
"While our coaches influenced the decision, that decision was not theirs".
But she denied suggestions that the Chinese government had influenced the decision to prosecute.
The attacks in both Pakistan and Afghanistan influenced the decision to relocate workers.
The aim of this study was to identify factors that influenced the decision to leave practice.
Industry officials and analysts said that I.B.M., based in Armonk, N.Y., heavily influenced the decision to focus on New York.
The commissioner in no way influenced the decision making with regard to the limited partners and the Yawkey Trust.
"These communications in no way influenced the decision to delay publication of the names of the retailers," he wrote.
The likelihood of give in the ground at Longchamp influenced the decision to run in the Arc.
