The difference between malware and advanced malware really comes down to sophistication. Malware is an all-encompassing term for software that is designed to extort or harm, whereas advanced malware refers to the most state-of-the-art sophisticated malware that is designed to bypass cyber security systems.
Fortunately, advanced malware protection is an answer to both types of threats. Well-known cyber threats will have near-zero chances of penetrating AMPs that will recognize them instantly, and other modern threats will likely have such a difficult time that cyber criminals are likely to move on to what they perceive will be an easier target.