The phrase "a long term problem for" is correct and usable in written English.
It can be used when discussing an issue or challenge that persists over an extended period and affects a particular subject or group.
Example: "Climate change is a long term problem for our planet that requires immediate action."
Alternatives: "an ongoing issue for" or "a persistent challenge for".
Defense could be a long-term problem for Los Angeles.
The widening trade deficit also reflects a long-term problem for the dollar.
Analysts say all this poses a long-term problem for fee-based dating sites.
The lightness and durability that make plastic such a useful and versatile material for manufacturers also make it a long-term problem for the environment.
So far, Mr. Putin has shown few signs that the disaffection worries him, but a continued decline in support could present a long-term problem for him.
The pledge to overhaul sewerage systems should have had widespread benefits, but officials long ago admitted they would fall short: an immediate issue for watersport competitors, a long-term problem for residents.
Louisiana fund officials and Mr. Holbein say that private equity tends to be a volatile investment with unexpected swings from year to year, but the overall approach remains sound and does not present a long-term problem for the fund.
Hiding together, first in the woods and then in a thatched fishing lodge, the men turned into a long-term problem for the neighboring communities of Villeret and Le Catelet.
Mr. McCain was faring much poorer among those voters compared with how President Bush performed in 2004, suggesting a long-term problem for the Republican Party with a rapidly growing demographic group.
Should America's overtures succeed, however, a long-term problem for Washington might turn out to be lurking in the small print: the part about allowing Turkish troops to follow the American incursion in order to create a buffer zone inside Iraq.
