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The book would be fine so long as you don't use the phrase Frosty the Snowman. However, the song is copyrighted.
It was written in 1950 by Walter “Jack” Rollins and XXXXX XXXXX, the song was first recorded by Gene Autry and the Cass County Boys. Autry was chosen to be the first to record the song following the success of recording of “Rudolph the Red Nosed Reindeer”. “Frosty the Snowman” is published by Warner-Chappell as well. If you use the meter, then you will have to pay the copyright owner money for using it.
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