Rune longswords can be found in one of the eight cupboards in the Alchemist's Playground of the Mage Training Arena. High Level Alchemy or Low Level Alchemy can be cast on them via right-click options, and their alchemy value changes approximately every 40 seconds between 1, 5, 8, 15 and 30 coins. The cupboard the swords are in changes randomly at the same time, and an infinite number of them are in the cupboard. For every 100 coins inserted in the coin collector, players will gain 1 alchemist's pizazz point.
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