Advance-Advancement | Commonly Confused Words

Advance

/ədˈvɑːns/

To move forward or make progress.

Louis advanced towards the door and called Colbert.'What's the matter?' said the dwarf, advancing.The time advances."

/ədˈvɑːnsmənt/

The act of moving forward or making progress, especially in one's career or knowledge.

The advancement of technology is rapid.She focused on career advancement opportunities.Our skills will aid in the advancement of the project.

Advance can be a verb or a noun, while advancement is strictly a noun.
Think of advance as moving forward or promoting something, and advancement as the process or result of such promotion.
Advance can be used for both concrete and abstract progress, whereas advancement often refers to progress in a more formal or planned sense.