diff --git a/src/bijectors/truncated.jl b/src/bijectors/truncated.jl
index 9517807e..cfef407b 100644
--- a/src/bijectors/truncated.jl
+++ b/src/bijectors/truncated.jl
@@ -69,12 +69,13 @@ end
 with_logabsdet_jacobian(b::TruncatedBijector, x) = transform(b, x), logabsdetjac(b, x)
 
 function truncated_inv_logabsdetjac(y, a, b)
+    y, a, b = promote(y, a, b)
     lowerbounded, upperbounded = isfinite(a), isfinite(b)
     if lowerbounded && upperbounded
         abs_y = abs(y)
         return log(b - a) - abs_y + 2 * LogExpFunctions.log1pexp(-abs_y)
     elseif lowerbounded || upperbounded
-        return convert(promote_type(typeof(y), typeof(a), typeof(b)), y)
+        return y
     else
         return zero(y)
     end
@@ -82,10 +83,12 @@ end
 
 function logabsdetjac(ib::Inverse{<:TruncatedBijector}, y)
     a, b = ib.orig.lb, ib.orig.ub
-    return truncated_inv_logabsdetjac.(y, a, b)
+    return sum(truncated_inv_logabsdetjac.(y, a, b))
 end
 
-with_logabsdet_jacobian(ib::Inverse{<:TruncatedBijector}, y) = transform(ib, y), logabsdetjac(ib, y)
+function with_logabsdet_jacobian(ib::Inverse{<:TruncatedBijector}, y)
+    return transform(ib, y), logabsdetjac(ib, y)
+end
 
 # It's only monotonically decreasing if it's only upper-bounded.
 # In the multivariate case, we can only say something reasonable if entries are monotonic.