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Dear helpers, how i can show 3 user events in mainpage with Random,

for exmple:

if anyone doing login then in this events shown to all in mainpage. like (ms-rajpot Logged is now)

if anyone pasted Replay in forums then events shown to all (ms-rajpot pasted Repled in "topic name")

if anyone writing any comments then events shown to all (ms-rajpot writing comment in johncms photo - Status - Librery - Gallery etc) ?