Hjorunn will buy any Firewood the Dragonborn has chopped at the nearby block for full price.
If The Elder Scrolls V: Hearthfire is installed, the Dragonborn can purchase Sawn Logs from Kharag gro-Shurkul at a rate of 20 logs for 200 ; however, he won't let the Dragonborn cut any Sawn Logs, but it is unknown if that can change.
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