Reluctantly sent to live with his uncle, a troubled boy befriends the uncle’s recently adopted, timid and frightened dog and together face their fears and find the courage to rescue his older brother from a methamphetamine drug ring.

This logline is shorter and reads faster but still describes a vague and un clear plot.

I think I may have not been clear about the need for a cause and effect relationship between the inciting incident and the goal.

After Luke's adoptive parents, aunt Beru and uncle Owen, are killed by imperial troopers he must accompany a Jedi knight on a quest to join the rebellion and defeat the evil galactic empire.

Luke's goal is a clear cut derivative of his inciting incident which was a significant event none like any other he had experienced before that point.

However in your story finding his brother is not a direct derivative of the MC rescuing a dog. As a result the plot is fragmented between seemingly unrelated events therefore it fails to illustrate a dramatic spin from start to finish.

As previously mentioned if the goal is the brother the dog is an ally and unrelated to the plot and may not need to be in the logline.

Thanks Nir. How about this:
Rescuing a damaged dog from a dog fighting ring, a friendless boy nurses the dog to health and uses it to find his missing brother.

The latest iteration is as confusing as the original.

The achievement of the MC's goal needs to be motivated by the inciting incident. As it is now the inciting incident is being sent to an uncles house this however does not directly relate to saving his brother from a life of substance abuse with a cause and effect relationship.

"...a boy?" is a poor description for a main character as it is vague and lacks a specific flaw for him to overcome. As a result (so it seams) "...troubled with trusting authority?" was added however this is not a unique character flaw rather the condition of most teenagers. Point is the character description needs to be specific and relate to the action by this I mean his character flaw needs to be an obstacle for him to overcome. For example; a misanthrope must befriend his his neighbour or a Nazi officer falls in love with a jewish woman, etc?

The dog element is external to the plot therefore both extends and complicates the concept in the logline unnecessarily.