The officers, who were in a police vehicle, were injured when the unknown gunmen opened fire with assault rifles from a Lada car, near the republic's capital Grozny late on Sunday.
"After the shots were fired, the police vehicle overturned in a ditch," the source said.
Both of the injured have been hospitalized, a search for the attackers is underway.
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Extremism is a term with many different interpretations, including in Islamic law (Sharia). No clear definition of extremism exists today, although there is a consensus that proponents of antisocial ideologies should be considered extremists.