Late and moderately preterm infants, born between 32+0/7 and 36+6/7 gestational weeks, comprise more than 80 % of all preterm infants and account for almost 40 % of all days of neonatal care. While their total number of days of care has not changed, an increasing part of their neonatal stay (from 29 % in 2011 to 41 % in 2017) is now within home care programmes. Late and moderate preterm birth is often complicated by respiratory disorders, hyperbilirubinemia, hypothermia and feeding difficulties. These infants also have an increased risk of perinatal death and neurologic complications. In the long run, they have higher risks of cognitive impairment, neuropsychiatric diagnoses and need for asthma medication. As young adults, they have a lower educational level and a lower average salary than their full-term counterparts. They also have an increased risk of long-term sick leave, disability pension and need for economic assistance from society.