TO BEGIN WITH, I KNOW NOTHING ABOUT MONSTER HIGH DOLLS.  IF THERE IS MORE TO TELL, PLEASE ASK.  THE DOLL WITH THE PURPLE HAIR IS MISSING BOTH ARMS FROM THE ELBOW DOWN.  ALSO, SHE ONLY HAS A TOP ON AND NO BOTTOM.  I'M ONLY ASSUMING AND HOPING THERE WAS A BOTTOM AT ONE TIME.  THE BROWN HAIRED DOLL IS MISSING ONE ARM AND A BOTTOM TO HER OUTFIT TOO.  PLEASE SEE PHOTOS.