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The bombing happened when a group from the district of Achin came to Momandara district to block the main highway between the capital Jalalabad and the Torkham border with Pakistan.
A journalist and a cameraman working for local TV channel Tolo News TV also lost their lives and four reporters were wounded in the car bomb explosion.
The Islamists, forced out of the capital in 2011, are fighting to overthrow the internationally backed government.
The onslaught began with a triple suicide bombing in the city of Sweida, which was followed by attacks with guns and explosives on villages to its north and east.
The attack comes after the arrests of about 22 Boko Haram extremist leaders and fighters said to be responsible for the mass kidnapping of schoolgirls in Chibok.
Last week's attack killed at least 149 people and was the latest in a series of deadly blasts at various election campaign events ahead of national polls on July 25.
Pakistan's Awami National Party vowed on Wednesday not to be swayed from its resolve to face down terrorists, a day after a Taliban suicide bombing killed a score of its activists.
Two blasts ripped through the town of Damboa in Borno state on Saturday evening targeting people returning from celebrating the Eid al-Fitr holiday, in an attack bearing hallmarks of Boko Haram.
Najibullah Kamawal, director of the health department in the eastern Nangarhar province, said another 65 people were wounded in Saturday's attack.
The deadly explosion comes just a day after a family of six including two young daughters staged suicide bombings at three churches in Surabaya during Sunday services.
"We buried 76 people yesterday (Tuesday). Today, as at 3:00 pm, 10 more bodies were brought in and buried," one cemetery worker said in an account supported by a second.
A suicide bombing outside a voter and ID registration centre in Kabul killed at least 57 people, and injured 112 people.
The assault underscores growing concerns about security in the lead-up to legislative elections scheduled for October 20, which are seen as a test-run for next year's presidential poll.
The attack in the north of the port city hit an army mess hall serving the so-called Security Belt brigade, supported by govAt least six people were confirmed dead, including a young child, and 30 wou
The number of civilians killed and wounded in the war in Afghanistan declined last year, but the number of deaths from airstrikes was on the rise.