To view only Active applicants, you'll need to adjust your Applicants page filters.

Click the More Filters option on the right side of the Applicants page.

more filters

In the drop-down, select the checkbox next to View only Active Applicants, then click the Apply Filters button.

active applicants

If you don't want to view certain applicants on your active applicants screen, you need to make them inactive. More info: How do I remove an applicant from the hiring process?