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You can claim a dependent each year they qualify as your dependent.  Each year is separate.  So if they didn't qualify in a prior year they can still qualify this year.  

Will this help?  Who can I claim as a dependent?

https://ttlc.intuit.com/community/credits-and-deductions/help/who-can-i-claim-as-my-dependent/00/267...

 

See IRS Publication 501 starting on page 11 bottom Dependents

https://www.irs.gov/pub/irs-pdf/p501.pdf