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Welcome to just answer.
Well there is no absolute cutt-off age limit for fusion of growth plates, however, in general, the age for females is usually 15-17 years and for males is 17-18 years.
Growth hormone injections can help anyone to attain vertical height if fusion of growth plate has not occured.However, if the fusion has occured, then Growth Hormone is not helpful for increasing a vertical height.
I hope i have been helpful.