Death of joint owner with Declaration of Trust

We have a house which is owned as tenants in common by three people, and there's a Declaration of Trust which details the split of ownership.
One person has sadly passed away, and the house will now be owned by two people with a 50/50 split.
Would a DJP form be sufficient to register the death of an owner?
Or does the Declaration of Trust mean that something like a Statutory Declaration is required to assure that it's being complied with?
Or is a new Declaration of Trust required to detail the new ownership?

Many thanks.

Rich S - form DJP and copy death certificate are sufficient to update the register. There's nothing to comply with re the trust from a registration perspective and any change of the trust arrangement would not affect the land register at this time