So... is Alice Gear Aegis Expansion finished or not?
NO, it is not finished.
Why?
MangaUpdates contains information about the anime adaptation and indicates that it is incomplete.
Watching Order (by release date)
Here you have all the anime relations we detected ordered by release date, so you can see the reason for this status in context and also use it as watching order.
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Synopsis
Humanity has been forced to flee Earth after a devastating invasion by mechanical aliens called the Vice.
Living on starships created from the remnants of the moon, their only hope rests on special young women known as Actresses.
These Actresses are uniquely equipped to pilot Alice Gears, powerful mechanical suits designed to combat the Vice.
The anime focuses on the struggle of these Actresses as they fight to protect humanity and potentially reclaim their lost home.