Now,it is generally accepted that no college or university can educate its students by the time they graduation.我想问,by t

Now,it is generally accepted that no college or university can educate its students by the time they graduation.我想问,by the time they graduation这个有问题把,从句之后应该用they graduate不是吗?
这句generally 表示广泛的用法是对的吗？widely是不是也行