Duncan-Jordan said he was “glad” to have the whip restored.
“I’ve been part of the Labour and trade union movement for 40 years, so I’m pleased to have had the Labour whip restored today.
“I’ll continue working hard for my constituents in Poole and standing up for Labour values – tackling poverty, raising living standards and building a fairer society,” he added.
Maskell said she was “grateful” that she had been given the whip back.
“I recognise the heavy responsibility on Labour to repair our public services and economy after 14 disastrous years and above all to lift people out of poverty.
“With 4.5m children living in poverty tonight, I am focused on ensuring they have the very best start in life,” she added.
The move comes as the party faces a difficult month in government with growing concern among Labour MPs that taxes will have to rise in the upcoming budget.
Newly elected Labour deputy leader, Lucy Powell, urged the government not to raise taxes in the next budget.
Powell told the BBC the government “should be following through” on its manifesto pledge not to raise income tax, national tax or VAT.
