The phrase "a problem that haunts" is correct and usable in written English.
It can be used to describe an issue or concern that persistently troubles or disturbs someone.
Example: "The unresolved conflict from her past is a problem that haunts her every decision."
Alternatives: "a lingering issue" or "a persistent concern".
In 1974, with Labour back in power, he entered the cabinet as education secretary, cheerfully helping to abolish direct grant status for leading grammar schools and driving them into the private sector - a problem that haunts Labour governments to this day.
Robertson's dilemma is symptomatic of a problem that haunts the whole Internet industry, according to Barry Hyman, senior market analyst at Ehrenkrantz King Nussbaum.
For my money, it is responsible for creating the expectation that we are always reachable, a problem that haunts us today.
At this stage Williams began abusing alcohol, a problem that haunted him the rest of his life but that came about partly as a result of his attempts to self-medicate agonizing back pain caused by a congenital spinal disorder.
So sophisticated was the Nimrods' radar that they could distinguish between submarines and whales – a problem that haunted the Task Force as it steamed south, watching for Argentine attack but coincidentally also following the mammals' southward migration.
The atomisation of a sizeable chunk of the working class – as they moved from unionised industries into zero hours contracts and low paid insecure service sector jobs – is a problem that disproportionately haunts Labour.
But its opening in 1959 was marred by a problem that would haunt it to the present — politics.
The United States proposed giving Palestinian refugees land in South America as a radical solution to a problem that has haunted Middle East peace talks for decades.
That series of poor defensive showings and another 3-2 defeat at bottom club Sevilla in December left the Dutch boss struggling to decide upon a regular back four – a problem that would haunt him for the rest of the season.
Also, the current stock of bombs still cannot destroy the deepest, most sophisticated caves and bunkers -- a problem that would haunt operations in places like Iraq or North Korea, which have many underground command centers.
The Transportation Security Administration is starting the program to deal with a problem that has haunted it for years: innocent passengers being delayed and questioned at airport check-in because their names match or approximate the name of someone on the terrorist watch lists.
