We estimated (1) the time from first detectable virus to peak viral concentration (proliferation time), (2) the time from peak viral concentration to initial return to the limit of detection (clearance time), and (3) the peak viral concentration separately for 69 individuals infected with SARS-CoV-2 variants alpha (n=14), epsilon (n=10), and non-variants of interest/variants of concern (VOI/VOCs) (n=45). For individuals infected with alpha, the mean duration of the proliferation phase was 4.3 days (95% credible interval [3.0, 6.0]), the mean duration of the clearance phase was 7.4 days [6.0, 9.0], and the mean overall duration of infection (proliferation plus clearance) was 11.7 days [9.8, 13.8]. For individuals infected with epsilon, the mean duration of the proliferation phase was 5.6 days [4.0, 7.4], the mean duration of the clearance phase was 8.6 days [6.7, 10.6], and the mean overall duration of infection was 14.2 days [11.8, 16.7]. These compare to a mean proliferation phase of 4.3 days [3.4, 5.4], a mean clearance phase of 6.9 days [6.0, 7.9], and a mean duration of infection of 11.3 days [10.1, 12.5] for non-VOI/VOC infections. The peak viral concentration was 20.9 Ct [18.3, 23.5] for alpha, 20.6 Ct [17.8, 23.5] for epsilon, and 20.8 Ct [19.1, 22.4] for VOI/VOCs. This converts to 7.9 log10 RNA copies/ml [7.2, 8.7] for alpha, 8.0 log10 RNA copies/ml [7.2, 8.8] for epsilon, and 8.0 log10 RNA copies/ml [7.5, 8.4] for non-VOI/VOCs. The distributions of individual-level means are suggestive of longer clearance times for the VOCs. The overall durations of acute infection varied widely across individuals, with individual posterior mean acute infection durations ranging from 5.5 - 16.1 days for alpha, 9.4 - 20.3 days for epsilon, and 4.8 - 17.6 days for non-VOI/VOCs. These data offer evidence that infections with SARS-CoV-2 variants alpha and epsilon feature broadly similar viral trajectories as infections with non-VOI/VOCs.