"To continue the exploration" means to keep investigating, learning, or researching further on a particular subject or area of interest without stopping or giving up. Full definition
The artists continue their exploration of the intersection between textiles, painting, and digital media with a selection of objects, a site - specific installation, and a video. (elizabethdee.com)
The new body of work continues his exploration into finding rhythm and movement without embracing the letter form. (graffuturism.com)
Among other concerns, they reveal the artist's continued exploration in a form of sculpture that interacts with both the wall and the floor. (artzine.com)