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Use "reenlist" in a sentence
"Service members discharged for violating "don't ask, don't tell" will be eligible to reenlist, but "there will be no preferential treatment" for them."
"One would be to not provide dependent benefits for servicemen in their initial enlistment, reserving those benefits only for those who reenlist (that might be a little difficult to do with a volunteer military currently fighting two wars)."
"Her husband Marcus Jesse L. Martin left their family to reenlist in the military for another tour of duty."