What does it mean that our hope enters into that within the veil?

The phrase 'entereth into that within the veil' refers to the believer's access to God through Jesus Christ who, as our High Priest, has entered the heavenly sanctuary. This signifies that our hope is not based on earthly conditions but firmly established in the eternal presence of Christ, who intercedes for us. The veil, which previously separated the Holy of Holies in the temple, represents the divided nature between God and humanity, but through Christ's sacrificial death and resurrection, this barrier is removed. Thus, believers are encouraged to approach God with confidence and trust in the hope that He will fulfill His promises, as understood through the covenant of grace.