Let me see if I have the latest chapter of this soap-opera right:
TH took a private jet (almost identical to TS's jet) on Sat. somewhere in California, when at the same time TS's jet was in Burbank.
TS's jet left that same day for RI.
TH is not seen for 3 days.
TS's jet yesterday flew from RI to Nashville and then Burbank.
TH is seen yesterday night at LAX airport, leaving for OZ.

So either TS enjoys wasting money on fuel and TH has developed a love for airports and his suitcases, or they spent 3 days together.