NEW YORK (TheStreet) -- Shares of Twitter  (TWTR) were slightly lower in mid-morning trading on Wednesday, as it was disclosed earlier today that the company had deleted nemerous alt-right accounts on Tuesday. The struggling social media company also announced new measures to help curb cyberbullying on its platform yesterday. 

The alt-right group promotes white nationalism and acts as an alternative to mainstream conservatism, which it rejects. 

This move by Twitter to continue to try to curb bullying on its site shows why it has had trouble selling itself, noted Capital Wave strategist Shah Gilani. In September, Twitter had interest from a number of potential suitors, including Walt Disney (DIS), Salesforce.com (CRM) and Alphabet's (GOOGL) Google unit, but none of them ended up making a bid. 

"This is sort of the baggage that Twitter carries with them all the time," Gilani said. "How do you basically police the site and at the same time not have folks mad at you for not allowing free speech?"

"It's a difficult line to draw," Fox Business' Ashley Webster said in agreement. 

In addition, deciding which accounts are alt-right or "not quite alt-right" will be a challenge, Webster said. "I mean it's very subjective." 

Twitter has shut down accounts associated with ISIS in the past so it has experience making these decisions, noted Fox Business' Elizabeth MacDonald. In response, the loosely organized alt-right group is moving to other social media platforms like Gab to "get its message out."  

On Tuesday, TheStreet's Jim Cramer said on CNBC's "Squawk on the Street" that if Twitter can clean up its site, then it will increase its value. "If they can clean this up and block certain things and people and not have a decline in the number of monthly average users, and make it a little more easy to onboard, I think Twitter is going to become a target again." 

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