Does the Qualified Intermediary actually take title to the properties?

No, not in most situations. The IRS regulations allow the properties to be deeded directly between the parties, just as in a normal sale transaction. The taxpayer’s interests in the property purchase and sale contracts are assigned to the QI. The QI then instructs the property owner to deed the property directly to the appropriate party (for the relinquished property, its buyer; for the replacement property, taxpayer).