When is an Elimination 2 reaction more likely to take place?

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An E2 elimination reaction is more likely to occur than SN1, SN2, or E1 reactions under specific conditions. Key factors favoring E2 include the presence of strong bases, steric hindrance around the substrate, and the substrate's structure. E2 reactions are favored with secondary and tertiary alkyl halides, where steric hindrance makes SN2 less viable. Strong bases, such as sodium hydride or potassium tert-butoxide, promote E2 by abstracting a proton while the leaving group departs simultaneously. In contrast, SN1 and E1 reactions are more likely with tertiary substrates in polar protic solvents, where carbocation stability is a priority. Overall, E2 is favored in situations where a strong base is present, the substrate is bulky, and a concerted mechanism is advantageous.
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When is an Elimination 2 reaction more likely to take place than any other reaction (more likely than SN1, SN2, E1)? Details and examples welcome.

I'm reviewing this for a student I'm tutoring and seem to have forgotten what makes E2 happen over the other reactions. Thanks!
 
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