tintin wrote:but is not it looks odd
'If the county continues to collect residential trash"
county collects residential trash !
is it correct usage ?
Yes, it is correct usage.
The word "County", in the statement 'If the county continues to collect residential trash", is a quick and easy way of identifying who is actually responsible for carrying out that duty.
I know that, specifically, it is the men who come and collect the trash who are physically completing the task, but they are either appointed or employed by officials in the County, and are completing that task on behalf of the County.
A more specific, but complicated way of making the same statement would be "If the men who are appointed or employed by the County to take and dispose of trash on behalf of the County, continued to collect residential trash..."
Other similar "simplified" statements would read :
"The County are coming to fix the road next week"
or
"The County ought to put up more street lights in town"