To continue doing something in English, you can say "to carry on" or "to keep on." The phrase "to carry on" originated in the 1800s and means "to continue or persist in an activity or endeavor." For example, you could say "I'm going to carry on with my work" or "We decided to carry on with our plans despite the rain." The phrase "to keep on" is similar and means "to continue to do something or to maintain a state." For example, you could say "I'm going to keep on working" or "Keep on smiling and you'll feel better."