Complex sentence: Kim was injured in 2000 during a race and took much of 2000-01 season off, but he made a good recovery through the 2001--02 World Cup Series in lead up to 2002 Winter Olympics.
Split into simpler sentences: Kim was injured in 2000 during a race and took much of 2000-01 season off, but he broke out in the 2001-02 season. Kim made a good recovery through the 2001--02 World Cup Series in lead up to 2002 Winter Olympics.