to have sth on lease or (on) leasehold
1freehold — free‧hold [ˈfriːhəʊld ǁ hoʊld] noun [countable, uncountable] PROPERTY LAW complete ownership of a building or land for an unlimited time: • Residential leaseholders living in blocks of flats have the right to acquire the freehold of their block… …
2property — noun 1 possessions ADJECTIVE ▪ personal, private ▪ common, public ▪ intellectual ▪ Companies should protect their intellectual property with patents and trademarks …
