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And you shall be brought before governors and kings for my sake, for a testimony against them and the Gentiles. - Mat 10:18

Every Testimony of Christ will result in a NewBirth or an accusation at the WhiteThroneJudgment.

And whoever shall not receive you, nor hear you, when you depart there, shake off the dust under your feet for a testimony against them. Truly I say unto you, It shall be more tolerable for Sodom and Gomorrha in the day of judgment, than for that city. - Mar 6:11

Any household of Unbelief would be cursed by the Testimony of their treatment of the Disciples. TheJudgment is coming.

But take heed to yourselves: for they shall deliver you up to councils; and in the synagogues you shall be beaten: and you shall be brought before rulers and kings for my sake, for a testimony against them. - Mar 13:9

Persecution comes when Christianity is not Dominant in a Society or Nation. Religious people who are not InChrist will Persecute True Believers the hardest. It was Religious people who brought Jesus before Pilate and Herod.

Notice that Jesus says that our Persecution and Prosecution will be used as a Testimony against them. This indicates that Christ takes rejection of the Gospel very seriously.

And whoever will not receive you, when you go out of that city, shake off the very dust from your feet for a testimony against them. - Luk 9:5

As a Just and Loving God He wants everyone to have a chance to Receive or Reject the Truth.

So, we see that, though Jesus sent His Disciples out to Preach the Gospel of the Kingdom so that people would Receive it and be Saved, He counted a rejection of the Gospel as a TestimonyAgainstThem that Believed not.