When a joint owner dies the legal ownership passes to the surviving joint owner. The 50% share you refer to is in the beneficial ownership.
As a result if the property is to be sold then you can do so without first transferring the legal ownership to yourself and the beneficiary. You, as the sole legal owner would transfer to the purchaser as appropriate. And once sold the proceeds can then be 'shared' as intended.
The key registration consideration will be whether there is a form A restriction registered on the titles. You can check the register
online for £3
If there is then you would need to appoint someone to act with you to take receipt of the purchase monies to then ensure that they are 'shared' as intended -
see PG 21 section 6 for how to do that