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In what political observers regard as one of several signs he is preparing for a 2016 run, the governor, whose stumble during a presidential nomination debate is thought to have been a prime factor in his dropping out of the 2012 GOP presidential nomination contest, has been visiting a number of states to sell them on the tax-and-regulation advantages of moving to Texas.

He said he will lead a business delegation this year to Israel, which presidential aspirants of both parties regard as a must-visit destination. What a Texas Republican described as an “important” announcement will be made just before the Perry trip.

Mr. Perry seemed eager to discuss the judicial reforms he would seek as president but checked himself, declining to talk about a proposal to appoint a judicial review board in Texas to look into the partisan politics that many say is behind some prosecutions of Republican officeholders in the state.

He said it would be inappropriate to discuss such things while he is being investigated.

He said the investigation resulted from incidents that began with the drunken-driving arrest and imprisonment of Travis County District Attorney Rosemary Lehmberg, who oversees the integrity unit and whose function is to prosecute corruption and malfeasance.

She was an assistant to Ronnie Earle, who as district attorney sought and won a grand jury indictment of Mr. DeLay for campaign money laundering. Mr. DeLay and other Republicans called it an act of vengeful partisanship.

When stopped by police, Ms. Lehmberg had registered a high level of intoxication and was exceptionally abusive to police when arrested, reports at the time said. Mr. Perry said he would withhold money from the integrity unit until she stepped down as its head. The unit had been investigating the Cancer Prevention Research Institute of Texas on charges of favoritism and mismanagement of public funding. The governor was a major supporter of the center.

A Democratic-leaning citizens group, Texans for Public Justice, then sued him for abusing the power of his office. That lawsuit triggered the appointment of a special prosecutor.