The phrase "and flew in a" is correct and usable in written English.
It can be used when describing an action of flying, typically in a narrative or descriptive context.
Example: "The bird spread its wings wide and flew in a graceful arc across the sky."
Alternatives: "and soared in a" or "and glided in a".
She and her husband lived in Patagonia and flew in a small plane together almost every day.
There was the man who lost his Jack Russell and flew in a professional dog tracker from Atlanta with a pack of hounds.
With American troops in Baghdad, General Tommy Franks, the top commander of the coalition forces, left his headquarters in Doha, Qatar, and flew in a Kevlar-lined helicopter and then a C-130 transport plane to Baghdad.
The following morning we drove to Robe Lake, seven miles out of town, and flew in a float plane over stunning mountains, lakes and fjords to the port of Cordova, where another CampAlaska van met us.
"In Arkansas, we have eyewitness accounts that professional-grade fireworks were set off in a town near a known blackbird roost," she said, "and that birds flushed from the roost and flew in a single direction at lower levels than they would normally fly.
She's standing by a window listening to a song that seems unlikely to be part of her usual playlist, Smile Empty Soul's "This Is War": "I drove in a car and flew in a plane/to come to your house and kick your door in".
When he reached the coast near the Frisian Islands, he turned and flew in an easterly direction for some twenty minutes to stay out of range of British radar.
More and more people were flying in space and flying in a style to which they were not accustomed.
Then he'd pivot and fly in a new direction: "Marlon Brando said a great thing once," he said interrupting one such interval.
After equilibration overnight, the samples were diluted in PBS to 10 µM and flown in a chamber between a glass microscope coverslip and a glass slide as stated above.
In 2008, "Money-Bill", as he was tagged, abandoned his team and the sport by walking out on the Canterbury Bulldogs and flying in a private jet to Toulon.
