"As of August 2014, Asheron's Call and Asheron's Call 2 will no longer charge a subscription fee for players," Turbine posted. "The last payments will be processed on June 31st [sic], making July the final 'paid' month. Note that this means some players will technically receive some portion of July free as a result, as we have decided to absorb the cost and not run partial payments to cover it."
The free-to-play version of both MMOs will continue operating, although new or lapsed players will need to pony up $10 to activate an account. Turbine also said that the forums will remain running, that help will be limited, and that it will no longer be doing MSN Zone migrations after May 31st.
As for player-run servers, Turbine plans to offer up a "basic" Asheron's Call server and client download by the end of the year, supported by new sub-forums.
[Thanks to Jack for the tip!]