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In a large skillet over medium high heat, add the butter and oil.
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Add potatoes and sweet potatoes, season with salt and pepper.
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Cook, stirring occasionally, until the potatoes are fork tender, 20-25 minutes.
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Add the leeks and garlic, add more salt and pepper to taste.
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Gently smash the potatoes.
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Add the pastrami, mix in well.
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Cook, stirring occasionally, until everything is well combined and the pastrami is warmed through, about 10 minutes.
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Cook eggs in a separate pan; any style.
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Divide the hash into bowls, top with eggs; sprinkle each portion with freshly diced chives.