Monday's blasts follow a Taliban suicide car bombing in Kabul Saturday that killed two civilians, according to officials.
Afghanistan's High Peace Council has authorised religious scholars in Nangarhar, Kunar, Laghman and Nuristan provinces to urge Taliban militants in their areas to join the peace process.
Silence over Afghan President Ashraf Ghani's peace plan announced late last month indicates the Taliban is pondering its next move, say observers.
Reinforcements are rushing to Farah Province following a string of Taliban attacks.
A bright future is possible only under the just rule of the Afghan government, members of the popular uprising say.
US Defence Secretary Jim Mattis is visiting Kabul to discuss reconciliation efforts and other security issues, saying Afghanistan is close to victory.
Only by working together can Pakistan and Afghanistan counter Iran's mounting aggression and nefarious influence in the region, officials and analysts say.
After a deadly terrorist attack in January in Kabul, Afghan officials are working to implement new security measures with a focus on secondary roads leading into the capital.
The Taliban have 'taken the wrong path' if they believe that they can achieve their objectives through war, says HPC Chairman Mohammad Karim Khalili.
The Afghan government is planning to provide residents of Uruzgan with job opportunities following the defeat of Taliban militants in the province.