Militants led by the Islamic State (IS) group overran large chunks of Iraq in a lightning June offensive that swept security forces aside.
But Iraqi federal forces and the autonomous Kurdish region's peshmerga fighters are now fighting to regain ground from the militants on multiple fronts.
Today, Kurdish forces backed by Iraqi air support retook three villages in the Jalawla area in Diyala province, as well as a main road used by jihadists to transport fighters and supplies, a peshmerga brigadier general said.
Farther north, militants launched two assaults on the Shiite Turkmen-majority town of Tuz Khurmatu, late yesterday and early today.
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Both attacks were beaten back by Kurdish forces supported by Iraqi aircraft, officials said.
On August 8, the United States launched a campaign of air strikes against militants who were pushing back Kurdish troops and threatening Arbil, the capital of their northern region.
Dozens of strikes have helped the Kurds regain ground, including an area called Qaraj which they retook yesterday.
However, the United States has said that air operations against the jihadists in Syria may also be necessary.