The U.S. military says two American soldiers have died in Iraq — one in combat and one of noncombat-related injuries.

The military released a statement late Wednesday saying two Multi-National Corps-Iraq soldiers died on November 4. The statement did not describe the circumstances of either death.

The names of the soldiers are being withheld until the military can notify family members. The statement said both deaths are under investigation.

The deaths raise to at least 4,359 the number of U.S. military personnel who have died in the Iraq war since it began in March 2003. That's according to an Associated Press count.