Sale to be completed soon means Doan will be signing with the Yotes.
Doan/his agent has stated he will sign "somewhere" by September 15, before the current CBA expires. He has also stated that he would prefer to stay in Phoenix.
That article clearly states that Jamison still has issues to work out with the city bye the "end of September" (after September 15).
There's still the very likely scenario of the November election having a negative effect on ownership.
The team is still foretasted to lose money in Phoenix even if things go well with the city this month and elections in November pointing to the team being moved regardless. AKA not remaining in Phoenix where Doan would prefer to stay.
All of that, plus the payroll limitations of the team/loss of key players like Whitney and hence diminishing ability to compete for a cup make it far from a certainty that Doan will re-sign in Phoenix. It's certainly still possible but IMO, it's far from "likely".