While it is good that you posted code, you need to make sure that posted code compiles and gives the output you state. When I attempt to execute your code, I get the following output on STDERR:

Bareword found where operator expected at fluff.pl line 10, near ")

                threeYrExpiration"
        (Missing operator before threeYrExpiration?)
Global symbol "$current_mth" requires explicit package name at fluff.p
+l line 8.
Global symbol "$last_day_current_mth" requires explicit package name a
+t fluff.pl line 8.
syntax error at fluff.pl line 10, near ")

                threeYrExpiration"
Global symbol "$unlinkCountTotal" requires explicit package name at fl
+uff.pl line 21.
Global symbol "@deleted_files" requires explicit package name at fluff
+.pl line 23.
Global symbol "$task" requires explicit package name at fluff.pl line 
+24.
Global symbol "$logger" requires explicit package name at fluff.pl lin
+e 25.
Global symbol "$logger" requires explicit package name at fluff.pl lin
+e 27.
Global symbol "$task" requires explicit package name at fluff.pl line 
+28.
Execution of fluff.pl aborted due to compilation errors.
[download]

where I have named my script fluff.pl. This tells me this is not the code that is giving you trouble, particularly as one of the errors is a missing block ({}). If I can't replicate your issue, then I can't identify it. There is nothing obviously wrong with your logic. Please post code that compiles that recreates your issue; see How do I post a question effectively?.

As a helpful side comment, if your actual code works when you copy/paste threeYrExpiration into file_handler, maybe you should leave it in there and modify file_handler to look more like:

sub file_handler {
  my ($abs_filename) = @_;
  return unless $current_mth == 1;
  return unless $last_day_current_mth == 31;
  threeYrExpiration($abs_filename);
                        
} # End of sub file_handler
[download]

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