Her work involved repeated absences from home - this means that during her work she was away from her home for extended periods of time.
You must submit a doctor's statement to cover the period of absence beyond the seventh day. - this means that if you are absent for more than seven days' you need to get a statement from a doctor saying that you are sick, probably not to get penalized. I don't think there is any difference if you obtained the statement on the first day of those seven days or on the last day. It also means that if you are absent for less than seven days, you don't need a doctor's statement.