Defence lawyers alleged that Mohammed and Mousavi were interrogated by Israeli security officers while in detention.
Mr Mousavi will turn up, as will defeated candidate Mehdi Karroubi and former President Khatami.
Mr Mousavi served as prime minister during the years of the Iran-Iraq war from 1980-1988.
Mr Mousavi, a reformist former PM, says he would seek to disband the force.
The official results gave President Ahmadinejad 63% of the vote against 34% for Mr Mousavi.
Mohamed and Mousavi were arrested in June 2012 and charged with possessing 15kg (33 pounds) of the powerful explosive RDX.
The fact of the matter is that with each passing day, Mousavi's personal views and interests are becoming increasingly irrelevant.
He had said either he or former Iranian Prime Minister Mir Hossein Mousavi would run as the reformist candidate in June.
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His reformist rival, Mir Hosein Mousavi, a popular prime minister during the war with Iraq, may also mount a strong challenge.
Early on Mr Mousavi, who, supporters say, was tipped off by allies within the Ministry of Interior, proclaimed himself the likely winner.
Mr Mousavi was hoping to prevent Mr Ahmadinejad winning more than 50% of the vote, in order to force a run-off election.
Though Mr Mousavi is the face of the opposition leadership, it is Mr Rafsanjani who is regarded as the power behind it.
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Whether he realized it or not, Mousavi was transformed last Friday night.
Nor is his rival, Mir Hossein Mousavi, a redeemer in waiting.
The court said Mohammed and Mousavi were suspected to have links with a network planning bombings in the capital, Nairobi and the coastal city of Mombasa.
As prime minister in the 1980s, Mousavi was a major instigator of Iran's nuclear program and he oversaw the establishment of Hizbullah and Palestinian Islamic Jihad.
He may, however, now back a tougher reformist alternative in the person of Mir Hosein Mousavi, prime minister during Iran's war with Iraq in the 1980s.
The significance of Mousavi's decision could not be more profound.
The Iranian parliament's communications committee looked into satellite jamming about eight years ago after citizen complaints of poor reception, said Ali Akbar Mousavi Khoeini, once deputy head of the committee.
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Mr Mousavi and his wife, Zahra Rahnavard, were placed under house arrest on 14 February in what Mr Mousavi's website said was aimed at preventing him from attending a march.
Millions of Iranians took to the streets, many sporting green ribbons that became a symbol for Mr Mousavi's campaign, and many declaring their determination to vote for the first time.
Moreover, Western officials and analysts point out that Mousavi's primary backers from within the regime - former presidents Muhammad Khatami and Akbar Rafsanjani - are themselves anything but anti-regime revolutionaries.
Mr Mousavi and Mr Karroubi showed what they thought of the offer of a vote recount by not even turning for their meeting with the Guardian Council, according to state television.
According to the Interior Ministry, the incumbent won 25m votes out of 39m cast, compared with 13m for Mr Mousavi and a risible 300, 000 for Mr Karroubi, a former speaker of parliament.
In addition to Mousavi, two other challengers -- former parliament speaker Mahdi Karoudi, another reformist, and hardliner Mohsen Rezaei, secretary of Iran's Expediency Council -- are hoping to unseat Ahmadinejad in the June 12 election.
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