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On Thursday’s NewsHour…

NEGOTIATING THE AFGAN WAR | As the Afghan war enters its 10th year, NATO soldiers killed dozens of Afghan insurgents on Thursday. There have been reports that a new Afghan council is making efforts to negotiate with the Taliban over how to wind down the war.

BLUEGRASS STATE SENATE SHOWDOWN | In Kentucky, the battle for the Senate seat tightens between Tea Party favorite Rand Paul and Attorney General Jack Conway. Gwen Ifill reports from Kentucky.

GOVERNMENT REPORT ON OIL SPILL | A new government report reveals the Obama administration initially underestimated the magnitude of the oil spill. The report charges the administration either intentionally misled the American people or they were not “fully competent” to handle the disaster. David Fahrenthold of the Washington Post goes through the details.

TOXIC SLUDGE REACHES DANUBE RIVER | The toxic red sludge that flooded part of Hungary has reached the Danube River, one of the longest rivers in Europe. Margaret Warner talks to Joe Hennon, a European Commission spokesman for the environment, about the health and environmental risks at stake.

PAKISTANI SCHOOLS DESTROYED BY FLOODS AND TALIBAN | Jonathan Miller of Independent Television News reports on Pakistani schools destroyed by floodwaters and Taliban insurgents.

JUSTICE BREYER ON HIS NEW BOOK | Associate Supreme Court Justice Stephen Breyer talks to Jeffrey Brown about the role and responsibilities of the Supreme Court in his new book, “Making Our Democracy Work.”

Thursday’s anchors are Jeffrey Brown and Ray Suarez. Hari Sreenivasan will have the day’s other top news stories and a look at features on the Web. On The Rundown, watch more of Justice Breyer’s views on the Supreme Court. Also, read more from the politics team about their reporting on the Kentucky Senate race.

Plus on Art Beat, hear an interview with UCLA professor who wrote a book about the work of Mario Vargas Llosa.

We hope you’ll join us.

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