Complex sentence: In the United States, courts permit parties to cross-examine to impeach a witness based on a demonstration of bias catalyzed by any number of reasons ranging from blood relationship to a party to a financial stake in the outcome of the litigation.
Split into simpler sentences: In the United States, courts permit parties to cross-examine a witness in order to impeach that witness based on his or her demonstration of bias. Witness bias may be catalyzed by any number of reasons, ranging from blood relationship to a party to a financial stake in the outcome of the litigation.