To evaluate the statements about magnesium (Mg) and calcium (Ca):
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Noble gases: This statement is incorrect because both magnesium and calcium are classified as alkaline earth metals, not noble gases. Noble gases are found in Group 18 of the periodic table.
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Same number of valence electrons: This statement is correct. Both magnesium (which has 2 valence electrons) and calcium (which also has 2 valence electrons) belong to Group 2 of the periodic table and thus have the same number of valence electrons.
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Same number of electron shells: This statement is incorrect. Magnesium has 3 electron shells (configuration: 2, 8, 2), while calcium has 4 electron shells (configuration: 2, 8, 8, 2).
Based on this analysis, the correct statement is: They both have the same number of valence electrons.