If that means fewer people are doomed than once thought, it is good news indeed.
If they are worried only about asylum-seekers (and, perhaps, illegal immigrants) it is good news for Labour.
Economically, it is good news on a number of fronts if companies like Jaguar Land Rover do well.
Though this is bad for consumers, whose wage rises are lagging prices, it is good news for farmers.
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It is good news - and, if anything, should be made more generous.
It is good news for Cambridgeshire firm Fulcrum Healthcare which produces a product said to remove mercury from the body.
This month's result may not help the car-parts firms in America, Canada and Europe, but it is good news for foreign firms in other protected industries.
It is good news for England at the end of a week when skipper Michael Vaughan was ruled out of the Ashes tour following knee surgery.
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It is good news that the United States and the European Union have confirmed that they are going to start formal talks about a new free-trade agreement.
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Macmillan Cancer Support says although it is good news that more cancer patients are living longer, many are struggling with long-term health problems caused by their treatment.
For Tea Partiers, it is good news, of course.
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It is good news that a special committee will look into Merck's handling of Vioxx--although the committee consists largely of board members who have stood behind Chief Executive Raymond Gilmartin .
"It is good news that the plant will be able to continue generating electricity for another two years, offering much needed peace of mind for the workers and their families, " he said.
"It is good news for Burkina Faso, for the team and especially for Jonathan because he is a player who did not deserve to be suspended, " Burkina Faso coach Paul Put told AFP.
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"Financial services is going to be a growth industry, " he said, "and if London can retain its place as the finance capital of the world, it is good news for the British economy and for everyone else in the country".
"It is good news that debit card surcharges will be displayed in the headline price of flights - as long as the airlines do not use this as an excuse to push up their prices, " said Which? chief executive Peter Vicary-Smith.
Steve Denning has a great article elsewhere on Forbes about Apple and GE bringing manufacturing back to the USA. But in the course of the article Steve also lets slip why, even if it is good news, it is not as important as we want it to be.
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Since Japan's widening trade surplus reflects the depressed state of its economy, it is hardly good news.
Actually, it is potentially good news for the man who this week clinched his nomination with a spectacular victory in Texas.
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For Chinese companies selling abroad, it definitely is good news.
If this is the case it is indeed good news for the hotels that had to keep room rates low over the last two years to minimize losses on vacant rooms.
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"If you get it in your eyes it is also not good news, " he adds.
It is also very good news for those of us who write a large check every month for our health coverage.
The Internet may not have brought about the wholesale cannibalisation of traditional banks' business, but it is still not good news for them.
"It is clearly not good news, the missing link in the economy has been confidence, " said Graeme Leach, chief economist at the Institute of Directors told BBC News.
Amazingly, this is considered good news because it is 21, 000 fewer than the week before and 6, 000 less than what economists expected.
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