Complex sentence: An avid fan of jazz music, Sebelius as of 2009 has a 30-year unbroken streak of annually attending Jazz Fest in New Orleans, except for two times when she was 9 months pregnant at the time.
Split into simpler sentences: An avid fan of jazz music, Sebelius has a 30-year streak of annually attending Jazz Fest in New Orleans as of 2009. Only missing festivals two years in that period, because she was 9 months pregnant at the time.