Let me try this one more time.
When one does a "Reader's service," be it vespers, matins, compline, akathist, or whatever, one does not read any of the parts that are specifically for the priest and priest alone; these parts include any time "peace be with all" is said, silent prayers, and what are called exclamations: the lines (said aloud) that the people normally say "Amen" to (that normally end with "... of the Father and of the Son and the Holy Spirit, now and forever and to the ages of ages.")
For example, we do not say in reader's services, "For yours is the kingdom and the power and the glory, of the Father and of the Son and of the Holy Spirit, now and forever and to the ages of ages."
To replace these lines that are called exclamations, we use a line which comes from the end of the services. The same line is said to end every service in the Church: "Through the prayers of our Holy Fathers, Lord Jesus Christ our God, have mercy on us and save us." This line is okay for anyone to say, and when someone is doing a "reader's service," this line is used instead of the priest's lines that we do not say.
Does that make more sense?