A flag 'flies' in front of the building. = There is a flag 'flying' in front of the building.
The restaurant 'made a flying start' by filling up on opening night.
After some difficult years, the company is 'flying high' again.
(..) Good morning, sir. Sit. My department has already begun rounding up suspects. His Majesty has been informed of the theft. He is flying home... from Washington. I expect an arrest any moment now. I do not share your optimism. We know the culprit is still within our borders. All the airports... (..)1975 The Return of the Pink Panther