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Artisan Upgrades
From User talk:Setzer
The x~y numbers refer to how much the stat would be if rolled at all. For example, a broad sword can get "Luck: +4 ~ +20" That means it can either get 0 luck or somewhere within that range but not 1~3. That being said, it's incorrect to turn Shield of Avon's protection and defense from 1~2 to 0~2 because it can't be if it is a rolled status. Sometimes all statuses roll, sometimes only one rolls. (And in some cases like Broad swords, you can end up with only a downgrade.)