Hello, thanks for your question. My name is Tony, I can assist with this.
Do you live in the same premises as the other lodgers?
no I LIVE DOWN THE ROAD
Okay, so the people living there have their own tenancy agreements?
In this case, you can get the people to leave, but you must send a formal notice to them under the Housing Act 1988 as they willo have tenancies, most likely assured shorthold tenancies.
Most landlords would serve a s.21 notice, as there is no defence to this and they have to leave. However, it can only take effect after any minimum term that is in the agreement.