A combination algorithm is proposed to enhance cycle slip detection and repair for triple-frequency data in challenging scenarios. It focuses on reducing noise and optimizing ionospheric delay coefficients. The algorithm combines observations from BeiDou Navigation Satellite System's Extra-Wide Lane (EWL), Wide Lane (WL), and Narrow Lane (NL). It begins with EWL for cycle slip detection and includes pseudo-range combinations, benefiting from its longer wavelength. Subsequently, it performs WL cycle slip detection based on EWL results and then detects NL cycle slips, using a dynamic ionospheric prediction model to mitigate ionospheric delay effects. After cycle slip detection, results from EWL, WL, and NL are integrated and solved. Experimental results demonstrate exceptional performance, even in scenarios with low satellite elevation and active ionospheric conditions. Complex searches during repair are not required, especially for small cycle slips (less than two cycles).