"The council supports the calls by victims for any unresolved cases to be fully and independently investigated, " they said.
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By the summer of 2011, the agency said it had 147, 000 unresolved cases left and that it needed to launch a special unit to deal with them.
But Mr Vine's report said the unit quickly became overwhelmed and failed to routinely or consistently make security checks to try to trace some of the unresolved cases subsequently archived.
Before that, the SEC only received unresolved cases.
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Mr Sedgwick told MPs that the agency had always tried to give MPs accurate information on unresolved cases but there was a "necessary imprecision" about the figures because of the number of years over which they had accumulated.
Mr Vine said the agency had failed to routinely or consistently make security checks to try to trace some of the unresolved cases that had been subsequently placed in the "controlled archive", a list of people UKBA officials believed they could not trace.
MPs say the UK Border Agency is still plagued by backlogs of unresolved immigration cases.
In 2006, the then home secretary ordered the UKBA to deal with 450, 000 unresolved asylum cases within five years.
That is 71% more than at the end of 2008, when there were 488 unresolved care proceedings cases, the charity said.
Sotheby's Asia has filed 13 lawsuits since 2007 with five cases still unresolved.
The report said that the total backlog of unresolved or disputed immigration cases in the UK was 312, 726 at the end of September last year - but it was not possible to be sure if that figure was accurate.
The service rules on cases that remain unresolved between a customer and a financial institution.
One key unresolved question revolves around how many of the remaining cases against Merck involve plaintiffs who only took Vioxx for a relatively short period of time.
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