Two more RAF Tornado jets are being deployed, joining the six already based in Cyprus.
The planes have carried out air strikes on four of their missions so far, hitting eight targets at five locations.
'Better future'
Holding a joint press conference with Mr Ghani in Kabul, Mr Cameron said British armed forces had paid a "very high price" for their involvement in Afghanistan,\
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British forces have gone "a long way" towards achieving their objectives in the country Mr Cameron said, while Mr Ghani thanked the families of those who had lost their lives there.
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Together we have made Afghanistan safer, we have made Britain safer”Prime Minister David Cameron
"We all share a common goal - which is a more secure, stable and prosperous Afghanistan," Mr Cameron said.
He spoke of the progress made in Afghanistan in recent years, adding: "The people of Afghanistan deserve an effective and legitimate government that will build a better future for them and their families."
"Together we have made Afghanistan safer, we have made Britain safer," he added.
There is no prospect of the UK going back to fight in Afghanistan because there is now an effective army and police force in place, a process that had taken "hard, patient work", he added.
Mr Cameron also paid tribute to the 453 UK servicemen and women who have died while serving in the country, as well as those who have been injured.
"We should remember those who paid the ultimate price and those who were injured through the work they did," he said.
Mr Ghani said British troops had stood "shoulder to shoulder" with Afghanistan and thanked those injured while serving in the country.
"Your presence has meant London has been safe, as well as the rest of the world," he said, adding: "We face joint threats."
'Get in early'
Mr Cameron said the UK would continue to support the Afghan National Officer academy and would provide £178m a year, until 2017, to "sustain the major progress" the country had made on public services like health and education.
The prime minister is the first world leader to meet Afghanistan's new government.
BBC deputy political editor James Landale said Mr Cameron, who will also be holding talks with new Chief Executive Abdullah Abdullah - effectively Afghanistan's prime minister - wanted to "get in early" with the new leadership.
Mr Ghani took office four days ago after coming to a power-sharing agreement with presidential rival Mr Abdullah.
British forces have gone "a long way" towards achieving their objectives in the country Mr Cameron said, while Mr Ghani thanked the families of those who had lost their lives there.
Continue reading the main story
“Start Quote
Together we have made Afghanistan safer, we have made Britain safer”Prime Minister David Cameron
"We all share a common goal - which is a more secure, stable and prosperous Afghanistan," Mr Cameron said.
He spoke of the progress made in Afghanistan in recent years, adding: "The people of Afghanistan deserve an effective and legitimate government that will build a better future for them and their families."
"Together we have made Afghanistan safer, we have made Britain safer," he added.
There is no prospect of the UK going back to fight in Afghanistan because there is now an effective army and police force in place, a process that had taken "hard, patient work", he added.
Mr Cameron also paid tribute to the 453 UK servicemen and women who have died while serving in the country, as well as those who have been injured.
Mr Ghani and Mr Cameron will co-host a London conference on Afghanistan next month
"We should remember those who paid the ultimate price and those who were injured through the work they did," he said.
Mr Ghani said British troops had stood "shoulder to shoulder" with Afghanistan and thanked those injured while serving in the country.
"Your presence has meant London has been safe, as well as the rest of the world," he said, adding: "We face joint threats."
'Get in early'
Mr Cameron said the UK would continue to support the Afghan National Officer academy and would provide £178m a year, until 2017, to "sustain the major progress" the country had made on public services like health and education.
The prime minister is the first world leader to meet Afghanistan's new government.
BBC deputy political editor James Landale said Mr Cameron, who will also be holding talks with new Chief Executive Abdullah Abdullah - effectively Afghanistan's prime minister - wanted to "get in early" with the new leadership.
Mr Ghani took office four days ago after coming to a power-sharing agreement with presidential rival Mr Abdullah.
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