Story highlights Jeffrey Toobin: Trump signs new order revising travel ban to bar immigration from 6 Muslim majority countries

He says in removing reference to religion, new ban may pass constitutional muster, though it will likely be challenged

Jeffrey Toobin is CNN's senior legal analyst and author of "The Oath: The Obama White House and the Supreme Court." Follow him on Twitter @JeffreyToobin. The opinions expressed in this commentary are solely those of the author.

(CNN) For President Trump and his travel ban, the second time may be the charm.t

The revised executive order, revealed Monday during a rare joint appearance by three Cabinet members, addresses many of the legal problems that led Trump's first executive order to be stymied by the courts.

The new order makes plain that holders of green cards and valid visas are now clearly exempt. There is no longer an exception to allow Christian refugees to jump to the head of the line.

JUST WATCHED Entire US travel ban announcement Replay More Videos ... MUST WATCH Entire US travel ban announcement 11:10

The government's explanation for why it selected the covered countries does not mention religion; rather, the administration says the six countries -- down from seven in the previous order -- either support terrorism or lack sufficient controls to identify dangerous visitors to the United States. The order also removes Iraq as one of the countries covered by the order.

The courts, which invalidated the original ban, did so, in effect, because they found the order amounted to religious discrimination against Muslims. This new order, unlike the first, makes no mention of the religions of any applicants to come to the United States.

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