PL/SQL :: Unquote A Condition

I'm passing some parameters from java code to a query as follows:

select * from table1
where col1 = 'yes'
--want to make this part dynamic
*$[variable]*

where the $[variable] = 'and col2 like ''some%'' and col3 = ''good'''

So this query is giving me an error saying that it cannot construct such query because i guess what it's trying to run is:

select * from table1
where col1 = 'yes'
*'and col2 like ''some%'' and col3 = ''good'''*

I need to remove the first and last single quote... I tried using double quote for my string and replace all single quotes with empty but the "LIKE" function only works with single quotes (like 'some%')..

I also tried using:

select * from table1
where col1 = 'yes'
and trim (both '''' from 'col2 like ''some%'' and col3 = ''good''')

but i get a "ORA-00920: invalid relational operator"...