Earlier quoted context omitted.
Yes you can but still need to mention the original licence and copyright notice. But your end product can be proprietary, or released under other license such as the GPLv3.
You can not chance the license of code you do not own.
That is what all company selling proprietary products that include MIT and BSD licensed codes do. Usually the jist include a file called "third party copyright notice" with the product ad well as an entry in the "about" section of their gui.