The terms have shifted over time. Once, radical feminism was almost segregationist, desiring a complete withdrawal from patriarchal structures.
But now, roughly, the terms can be understood as follows...
Liberal feminism is elite feminism. It reads society, culture and politics from the perspective of a wealthy, highly educated female who generally has freedom from the harshness of the female experience due to wealth and privilege. So sex work is unproblematic because it will never affect these women in any way, either as a primary or secondary victim. Pole dancing is "ironic" because they will never actually be in a position where that is the only way they can afford to pay the rent.
Radical feminism is now street level feminism. It reads society from the perspective of the ordinary woman who does not have wealth and privilege, and thus faces the harshness of the female state within that structure. So sex work is problematic because radical feminism recognises the exploitation of the female in
sex work and recognises that females are harmed by this work and that those females are the same class as the radical feminist and this paradigm affects all ordinary women's lives outside of the elite bubble. For example, look at Leeds: the sex work in the decriminalised zone not only exploits trafficked females , but also disrupts the lives of non sex worker females and girls living in the area, and attitudes to females in general. Radical feminism sees this; liberal feminism does not.
I think, to some extent, radical feminism is an expression of communitarianist drives (ie. females as a class) whereas liberal feminism is pretty much neo-liberal and individualistic (the female as an individual).
In this way, today's radical feminism can be read as Marxist and liberal feminism as neo-capitalist, but I'm not sure how far those comparisons are actually useful, tbh.