So... is Telepathy Shoujo Ran finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: December 20, 2008
Manga finished: March 26, 2009
MangaUpdates contains information about the anime adaptation and indicates that it is incomplete.
Watching Order (by release date)
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Synopsis
Telepathy Shoujo Ran follows Ran, a junior high student grappling with telepathic abilities.
Along with her friends Midori and Rui, Ran navigates a series of mysterious events that her powers often seem to trigger.
The story centers on Ran's journey to understand and accept her powers, as she struggles with the negative influence they have on others.
With the support of her family and friends, Ran learns to control her abilities and use them to solve problems, working with Midori and Rui to unravel the mysteries they encounter.