يَا نِسَاء النَّبِيِّ لَس'تُنَّ كَأَحَدٍ مِّنَ النِّسَاء...
In the beginning, Allah (swt) was addressing the wives of the prophet (shown by verse 32). He warned them not to be like other women. He ordered them to stay in their houses, not to display themselves like in the time of ignorance, to keep up prayer and give charity. In the last part of the verse 33, He clearly states that He "only desires to keep away the uncleanness from you, O people of the House! (ahlul bayt) and to purify you a (thorough) purifying".
A thorough purification (in all its forms) and the removal of the uncleaness means protection from the acts of Satan such as lying, disobeying Allah, making mistakes, commiting sins, turning away from religion, among many others. It means protection from satan. There is a desagreement among the scholars on who Allah is addressing in the last part of the verse. In other words, who are the members of Ahlul Bayt?
I will present to you authentic narrations that will show you that the Ahlul Bayt do not include the wives of the prophet. In the general term of course, the wives are members of his household. However, in the specific term, the Ahlul Bayt include only those individuals Allah has purified a perfect purification and they are the prophet himself, Ali, Fatimah, al-Hassan and al-Hussein.
'A'isha reported that Allah's Apostle (may peace be upon him) went out one morning wearing a striped cloak of the black camel's hair that there came Hasan b. 'Ali. He wrapped him under it, then came Husain and he wrapped him under it along with the other one (Hasan).