"left to further" is correct and can be used in written English.
It generally indicates that something is continuing to another phase or is still an ongoing process. For example: "The study of the impact of the new health protocol was left to further research and analysis."
Having graduated with a degree in English and history from Mountclair State College in New Jersey, he left to further his education across the pond.
"He left to further his personal political interests because he knew that he was going to lose a Republican primary due to his leftwing voting record.
"Everything will now be left to further mediation and arbitration, and we know from past experience that it's hard to get any progress that way".
Michael Steele, chairman of the Republican National Committee, did not mince words, saying Mr. Specter "left to further his personal political interests because he knew that he was going to lose a Republican primary due to his left-wing voting record".
At the United Nations — in contrast to bilateral negotiations — Abbas is prepared to accept international determination of the 1967 borders and a Palestinian capital in Jerusalem as the defining parameters of a Palestinian state, with the refugees and holy places left to further negotiations.
But I agree that there is definitely room left to further simplify it.
A successful Champions League run may have cushioned domestic disappointments, but Gotze may feel he needs to leave to further a blossoming career.
We leave to further work a mathematical quantification of how small γ should be.
I stayed with Cardiff for years but felt I needed to leave to further my career.
Ryan Giggs could be set for his final Manchester United appearance after admitting he may have to leave to further his coaching ambitions.
And through various e-learning efforts, LinkedIn has been trying to create a bridge between the kind of learning you might do at university and what you might do after you leave to further your career.
