"study and learn" is correct and usable in written English.
You can use it in any context when you want to encourage someone to undertake study and to acquire knowledge and understanding. For example, "If you want to succeed in life, you must be prepared to study and learn."
There's so much to study and learn.
There is something that appeals to me about people who are trying to improve their minds, study and learn.
My aim is not just to help preserve what is left of mountain life, but to create a centre where people can study and learn about it".
An image of the Daleks as the Ancient Greeks came into my mind, with other races beating a path to their door to study and learn.
They played a much more active role in rearing their children than did past emperors, and later sent them overseas to study and learn foreign languages.
If the circumstances make it difficult for the student to study and learn, then the purpose is lost".
"We didn't know a lot at the start, but we've had 20 months to study and learn and this is really the direction we want to go.
Also, working hard, meeting with teachers for extra help and developing knowledge of how you study and learn best will help make you a more successful college student.
Robert Pastor, who served as Mr. Carter's national security adviser on Latin America, said he hoped that the Cubans would declassify similar documents in order for both countries to study and learn from that era.
She also described returning to school in middle age as challenging: She has had to relearn how to study, and learn from scratch how to navigate the Internet, which didn't exist when she was in high school.
To get skilled you need to study and learn and be humble.
