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The following are a few examples of terrorist acts conducted by Hezbollah from an article by the Council on Foreign Relations.
http://www.cfr.org/publication/9155/
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and two major 1990s attacks on Jewish targets in Argentina—the 1992 bombing of the Israeli Embassy (killing twenty-nine) and the 1994 bombing of a Jewish community center (killing ninety-five)
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the suicide truck bombings that killed more than 200 U.S. Marines at their barracks in Beirut, Lebanon, in 1983
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the 1985 hijacking of TWA flight 847, which featured the famous footage of the plane’s pilot leaning out of the cockpit with a gun to his head
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a series of kidnappings of Westerners in Lebanon, including several Americans, in the 1980s
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Hizb Allah denies involvement in the Argentina episodes. They were also more than ten years ago; if you want to go far enough back in the past you can find unequivocal acts of terrorism by Israeli groups too (not to mention numerous car bombings, mass murders, targetting of civilians etc that are by any serious definition terrorist acts that it engaged in when in Lebanion before and elsewhere).
I don;t see how the attack on the marine barracks, a military target of a country that was intervening in the conflict increasingly on behalf of one side, can be considered a terrorist attack.