Port Khazard mine:
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Khazard Teleport => run to the mine (Lunar Spellbook, requires Lunar Diplomacy quest and 78 Magic)
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Teleport to Yanille => run west/north (depending on where you have your teleport directed to - after completing the hard Kandarin task set, you can direct your teleport to the middle of Yanille) to the mine (Watchtower quest and 58 Magic required - no Magic requirement, if using tablet)
Yanille:
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Yanille lodestone => run east
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Watchtower teleport => run to the spot (recommended to have your teleport set to middle of Yanille)
6. Crandor/Karamja
Nature Altar mine:
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Wicked hood teleport to the Nature Altar => run
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Teleport to Shilo Village using any of the methods described below => use shortcut => run
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Nature Altar tablet => run (tablet can be obtained by playing the Great Orb Project minigame)
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Tai Bwo Wanai teleport scroll => run south
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Spirit Graahk teleport => run east (requires 57 Summoning)
Shilo Village:
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Karamja gloves 3 or higher teleport (requires completion of Karamja hard/elite task set)
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Any of the methods used to teleport to the nature altar and then run to the shortcut south-west (requires completion of Karamja elite task set)
Crandor:
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Amulet of glory => Karamja => run all the way through the volcano
Brimhaven Dungeon mine:
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Brimhaven lodestone => run east
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Brimhaven tablet => run south-east (can be made after Love Story quest)
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Regular house teleport tablet => run south-east (if house is in Brimhaven)
Horseshoe mine:
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Same methods as above, just that you run into a different direction.