I am going to write a Powershell script to remove files from a .zip file. In my .zip file, I have test.txt (latest) test1.txt (older) test2.txt .... testN.txt (oldest)
Use 7-Zip, a free Zip tool. A Technet sample illustrates how to create a zip archive with 7-Zip in Powershell.
Learn the proper commands to get a listing of your zip's contents and use the d command to delete files from within the archive.
d