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[Part 1 (4 points)] Show all work in dividing the fraction of 3 k squared plus k minus 2 over 4 k minus 2 divided by the fraction of k squared plus 3 k plus 2 all over 2 k squared plus 5 k minus 3 (list restrictions). [Part 2 (2 points)] Use complete sentences to explain your process.
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\[\frac{ 3k^2+k-2 }{ 4k-2 } \div \frac{ k^2+3k+2 }{ 2k^2 +5k-3 }\]
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