Why Karl Rove said Hillary Clinton was in the hospiital for 30 days, I can't say. All I can say is that she was only in for three. She had a few of other doctor visits regarding a stomach virus, a fall she took while she was weakened by a stomach virus, and a blood clot believed to be caused by the fall. All these events happened within about a 30 day period in December/January, but she was only an out paitent. His other comment was not challenged to my knowledge, so I suppose it could be true. The accusations that he has claimed Hillary has brain damage were also innaccurate nor did he even suggest it, but on that point you can make up your own mind. Clearly the media attacks on Rove not just coming from commentators but news anchors as well, were completely innappropriate and unwarranted.
Hillary Clinton was out of service for about a month and could not testify on the Benghazi attacks when the republicans wanted to because of it. She did testify several months later. While on Hannity Rove said that he did not intend to suggest that Hillary had brain damage and added that it's "obvious she does not have brain damage."
If Hillary Clinton runs for president, Rove pointed out that the media has always demanded to see the medical records of past presidential candidates and that they would demand hers also. So if she has anything to hide it would come out then. He also pointed that some of the older past republican candidates had critical stories run about their age and that if they wanted to be consistant, she should get the same treatment. If Hillary Clinton were elected to office she would become the oldest U.S. president in history at the time of her first inaugeration.