You should be ok if you charge at a low rate.I use 6 amp as the high to re-charge connected to the converter.I do not know what most converters are rated for up a little caution would not hurt.Having lights etc on will slow the re-charge so would be best to re-charge with batteries disconnected for a while.I use a battery charger that has 2,4,6 amp charge rate and do not have the converter connected.
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