The phrase "rarely affected" is correct and usable in written English.
You can use it to describe something that is not significantly influenced or changed by a particular event or situation. For example, "The main office was flooded, but the remote branch locations were rarely affected."
New entrants positively affected statin expenditure between 2006 and 2008 (from 2.7%too 10.5%) but rarely affected it in 2009 (1.0%).
History suggests that vice-presidential debates have rarely affected elections in big ways.
In the past, homelessness may have been seen as something which rarely affected women.
But watching the old Arab man on TV this week, I was rarely affected by this note of sincerity.
Even so, the river's diversion meant it hit villages rarely affected by flooding and unprepared to deal with it.
But Drew Altman, the president of the Kaiser Family Foundation, said health policy rarely affected election outcomes.
The ailment, which rarely affected children in the past, is so closely linked to obesity that it has been nicknamed "diabesity".
Although Romney's supporters sensed a turning point in the race, experienced observers cautioned that debates have only rarely affected the outcome of presidential elections.
After all, we live longer, we are rarely affected by the life-threatening infectious diseases that plagued society a century ago, and medical science is more effective than ever before.
Professor Fox said the economy rarely affected the national crime rate because many of the people who typically commit serious crimes were only tangentially connected to the greater economy.
Beaches in Catalonia are rarely affected for more than 15 days each summer, but some Mediterranean resorts are now considering using two-metre-deep nets to fence off safe zones for bathers.
