The phrase "and after developing a" is correct and usable in written English.
It can be used when discussing a process or sequence of events that follows the development of something, such as a skill, project, or idea.
Example: "The team conducted a thorough analysis, and after developing a comprehensive strategy, they implemented the new plan."
Alternatives: "following the development of a" or "subsequent to developing a".
She had been hospitalized there since last Sunday for an accidental drug overdose, and died after developing a blood clot on the brain.
A ragged eye became apparent on satellite imagery, and after developing an anticyclone aloft, its outflow became much better defined.
Turning to the northeast through an area of warm water temperatures, the storm quickly strengthened, and, after developing an eye, it attained hurricane status late on September 3, while located about 1,200 miles (1,950 km) south of Alaska.
14 15 Faude et al 14 formulated the basis for preventive strategies in children playing football, and after developing an adapted 'FIFA 11+ Kids' programme, FIFA Medical Assessment and Research Centre (F-MARC) is currently conducting a large multicentre intervention study (four European countries) in this area.
Richards was philosophical after finishing second in the 400 at the world championships in 2005 and philosophical again after developing a rare immune system disorder, Behçet's syndrome, and failing to qualify for last year's world championships in the 400.
Kathy Wren made the transition from rock hound to working as a science writer for the AAAS News and Information office after developing a "literal distaste for sedimentary rocks".
The system continued to organize, and on October 8, after developing a circulation, it developed into Tropical Depression Fourteen while located 205 miles (330 km) to the southeast of Brownsville, Texas.
Runi survived that plague, and several others, but, about a year ago, after developing a persistent cough, she visited one of the private medical clinics that line the streets of Patna.
Three Oregon high school football players had surgery and 10 remained hospitalized after developing a rare soft-tissue condition that has school authorities puzzled.
Page 6 NEW EUROPE CONSERVATISM Bulgaria and its neighbor Romania, after developing a high-tech border operation, are hoping to join the European Union's visa-free travel zone, along with guarding some of the union's outer borders.
