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To get Telegraf pulling syslog data into InfluxDB, users need to follow steps for their operating system - Mac OS or Linux. The process involves installing HomeBrew on Mac OS and rsyslog on both systems, configuring the rsyslog configuration file with necessary settings such as temporary directories, asynchronous processing, and disk mode, and then restarting the service. On Linux, users install rsyslog via package managers like apt-get, configure the rsyslog.conf file similarly, and restart the service. Once configured, Telegraf is used to accept syslog messages from the rsyslog server, and the data is stored in InfluxDB for visualization using tools like Chronograf.