A faithless young girl is recruited into a war of witches and must believe in herself and magic enough to use a legendary wand to end the conflict.

Good points raised above.

In answer to your question a logline isn't suppose to explain all the plot points of the inner journey, as DPG mentioned it's the outer journey plot that it's suppose to tell. It's through the character and obstacle descriptions that the inner journey is inferred, and it's through the cause and effect relationship between the inciting incident and goal that the motivations and stakes are made clear.

For example:

The inciting incident of the galactic empire burning Luke's uncle and aunt motivated him to seek revenge against the man in charge. It's also connected via a cause and effect relationship to his outer journey goal - stopping the empire's Death Star.? However, a peek under the surface and we can see that the hero needs to learn to let go of anger on account of being vengeful - his inner journey goal.

If we keep looking we see that the empire is dangerous and well equipped (killed and burned a whole settlement in? a few hours), so now we also get a sense of the magnitude of the hero's obstacle.

But wait there's more!!!

As this is a galactic empire the reader now knows the stakes at hand - freedom across the whole galaxy.

So much was inferred with so few words, point is that with a well structured logline a strong concept will answer all the required questions.

Thanks for the clarification.? However, I did not detect one necessary plot element in your synopsis: a singular antagonist.

The magic wand seems to constitute the "McGuffin", which per Hitchcock, is the object in a film story?everyone covet, everyone wants to get their hands on.?? If that is so, then? the story would benefit from?the ?young girl should?having a??rival, an opponent??who covets the wand?to use for?evil rather than good.???Say a wicked crone.? Such as:

A timid young girl recruited to end a war of witches must find and master a legendary wand for good before it falls into the clutches of a wicked crone intent on using it for evil.

(36 words)

The?existence of ?a rival?amps up ?dramatic tension because:? 1]?it raises the stakes: the crone will use it to make things worse, not better.? 2]It plants an implied ticking clock: the young girl must acquire the wand??before the crone does.

Yeah, I know.? Not a word about her learning to trust herself, trust the magic of the wand, yada-yada.? Why?? Because?that's the standard issue inner story, the boilerplate ?subjective need, entailed in the classic paradigm of the Hero's Journey.? But a logline is about the outer story, the quest for the objective goal and who opposes the protagonist.

fwiw.

Thanks for the clarification.? However, I did not detect one necessary plot element in your synopsis: a singular antagonist.

The magic wand seems to constitute the "McGuffin", which per Hitchcock, is the object in a film story?everyone covet, everyone wants to get their hands on.?? If that is so, then? the story would benefit from?the ?young girl should?having a??rival, an opponent??who covets the wand?to use for?evil rather than good.???Say a wicked crone.? Such as:

A timid young girl recruited to end a war of witches must find and master a legendary wand for good before it falls into the clutches of a wicked crone intent on using it for evil.

(36 words)

The?existence of ?a rival?amps up ?dramatic tension because:? 1]?it raises the stakes: the crone will use it to make things worse, not better.? 2]It plants an implied ticking clock: the young girl must acquire the wand??before the crone does.

Yeah, I know.? Not a word about her learning to trust herself, trust the magic of the wand, yada-yada.? Why?? Because?that's the standard issue inner story, the boilerplate ?subjective need, entailed in the classic paradigm of the Hero's Journey.? But a logline is about the outer story, the quest for the objective goal and who opposes the protagonist.

fwiw.