"To continue the harassment" means to persistently and repeatedly bother or intimidate someone, often in a harmful or distressing manner. Full definition
The other customers suffered continued harassment and lawsuits by creditors and had their credit ratings destroyed. (getoutofdebt.org)
However, this single line, whose inclusion made no effective difference to the IPCC presentation, nonetheless has driven continuing harassment of everyone involved for no good purpose whatsoever. (realclimate.org)
«The worst part is, you don't know who to trust and who you can reach out to without continued harassment and retaliation.» (entrepreneur.com)