Steele contended there were improper jury instructions and other errors in his conviction.
But The Spokesman-Review reported that the appeals court rejected those claims in a decision issued Thursday.
A federal jury in 2011 convicted Steele of four felonies for paying a handyman to kill his wife and mother-in-law with a car bomb. Steele maintained the whole thing was a government conspiracy, and that audio tapes of him discussing the plot with the handyman were fabricated.
Steele defended Aryan Nations founder Richard Butler in a civil case that bankrupted the racist group.
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